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Finding the Fourth Proportional to 657,130.72, 906,839.76 and 355,324

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Solution

The fourth proportional to 657,130.72, 906,839.76 and 355,324 is: 490,346.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,130.72 : 906,839.76 = 355,324 : x
  2. Step 2: Convert to fraction form
    657,130.72/906,839.76 = 355,324/x
  3. Step 3: Cross multiply
    657,130.72x = 906,839.76 × 355,324
  4. Step 4: Simplify right side
    657,130.72x = 322,221,930,882.24
  5. Step 5: Solve for x
    x = 322,221,930,882.24/657,130.72
  6. Step 6: Final answer
    x = 490,346.78

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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.