The ratio of men to women in a certain factory = 3:4
The total number of men in the factory = 222
Let us assume the common ratio to be = x
Then
3x = 222
x = 222/3
= 74
Then
The total number of women workers in the factory = 4 * 74
= 296
So
The total number of workers in the factory = 296 + 222
= 518
From the above deduction we can easily conclude that there are a total of 518 workers in the factory.