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Finding the Fourth Proportional to 657,037.31, 906,711.39 and 355,231.31

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Solution

The fourth proportional to 657,037.31, 906,711.39 and 355,231.31 is: 490,219.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,037.31 : 906,711.39 = 355,231.31 : x
  2. Step 2: Convert to fraction form
    657,037.31/906,711.39 = 355,231.31/x
  3. Step 3: Cross multiply
    657,037.31x = 906,711.39 × 355,231.31
  4. Step 4: Simplify right side
    657,037.31x = 322,092,270,328.06
  5. Step 5: Solve for x
    x = 322,092,270,328.06/657,037.31
  6. Step 6: Final answer
    x = 490,219.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.