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Finding the Fourth Proportional to 318,304.08, 477,456.24 and 81,646.76

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Solution

The fourth proportional to 318,304.08, 477,456.24 and 81,646.76 is: 122,470.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,304.08 : 477,456.24 = 81,646.76 : x
  2. Step 2: Convert to fraction form
    318,304.08/477,456.24 = 81,646.76/x
  3. Step 3: Cross multiply
    318,304.08x = 477,456.24 × 81,646.76
  4. Step 4: Simplify right side
    318,304.08x = 38,982,755,037.78
  5. Step 5: Solve for x
    x = 38,982,755,037.78/318,304.08
  6. Step 6: Final answer
    x = 122,470.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.