The mass fractions of potassium, phosphorus and oxygen in a certain compound

The mass fractions of potassium, phosphorus and oxygen in a certain compound are 55.19; 14.62 and 30.19%, respectively. Determine its simplest formula.

We make the following ratio.

55, 19 ÷ 39 = 1.41.
14.62 ÷ 31 = 0.47.
30.19 ÷ 16 = 1.88.
We get the following relation.

1.41: 0.47: 1.88.
Next, divide by the smallest number, that is, divide these numbers by 0.47.
The result is the following ratio of numbers.

1.41 ÷ 0.47 = 3.
0.47 ÷ 0.47 = 1.
1.88 ÷ 0.47 = 4.
That is, we get the following ratio of numbers.
3: 1: 4
So the formula looks like this.
K3PO4.
That is, potassium phosphate is obtained.
Answer: K3PO4, potassium phosphate.