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Scale a 1:4 mixing ratio

Multiply both sides of 1:4 by the batch multiplier you need. A quarter batch is 0.25 and 1, a half batch is 0.5 and 2, two batches are 2 and 8, and the combined amount is always five times the multiplier.

The first side of the base ratio. Decimals are converted to whole-number parts before the ratio is simplified.

The second side. Both parts must be positive because a zero-part mixture has no useful scale table.

A multiplier of 0.5 makes half the base quantities; 1 makes the base row itself.

The distance between adjacent scale rows. It does not change the ratio.

Simplified ratio
1:4
Both decimal parts are first written as integers, then divided by their greatest common divisor.
Rows generated
16
Last multiplier
4.000000
First quantity in last row
4.000000
Second quantity in last row
16.000000

Equivalent ratio table

10.250.251
20.50.52
30.750.753
4114
51.251.255
61.51.56
71.751.757
8228
92.252.259
102.52.510
112.752.7511
123312
133.253.2513
143.53.514
153.753.7515
164416
What to take away
  1. The ratio names parts, not percentages: one plus four makes five total parts.

  2. The first material is 20% of the combined amount and the second is 80%.

  3. A 0.25 multiplier preserves the ratio even though both quantities are fractional.

How it works

The formula

multiplier[row] = start + (row - 1) x step

firstQuantity[row]  = firstPart  x multiplier[row]
secondQuantity[row] = secondPart x multiplier[row]

To simplify decimal parts:
  write both parts as base-10 integers over powers of ten
  cross-multiply to one common denominator
  divide both resulting integers by their greatest common divisor

The same multiplier is always applied to both parts.

What it assumes

  • Both base parts and both multiplier controls are positive. A zero-part relationship can be written, but it does not make a useful scale table and is refused here.
  • Parts are dimensionless until the visitor assigns a unit. A row can mean grams, litres, pixels or people only when both columns are interpreted consistently.
  • The simplified headline is exact for the decimal spelling accepted by the number control. Table quantities use JavaScript numbers and are shortened to twelve significant digits to remove binary display tails.
  • A ratio names quantities alongside each other. A ratio of 1:4 contains five total parts; it does not mean one part out of four total.

Common questions

Does 1:4 mean one part plus four parts or one part in four total?

In ratio notation it means one part alongside four parts, so there are five total parts. One part in four total would instead split as 1:3.

How much total mixture does a 1:4 row make?

Add the two columns. At multiplier m, the row is m and 4m, so the combined amount is 5m in the same unit.

Sources

The full method, worked example and every assumption behind this figure are on Ratio Table Maker.