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Finding the Fourth Proportional to 284,031.78, 391,965.12 and 156,711.12

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Solution

The fourth proportional to 284,031.78, 391,965.12 and 156,711.12 is: 216,262.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,031.78 : 391,965.12 = 156,711.12 : x
  2. Step 2: Convert to fraction form
    284,031.78/391,965.12 = 156,711.12/x
  3. Step 3: Cross multiply
    284,031.78x = 391,965.12 × 156,711.12
  4. Step 4: Simplify right side
    284,031.78x = 61,425,292,956.13
  5. Step 5: Solve for x
    x = 61,425,292,956.13/284,031.78
  6. Step 6: Final answer
    x = 216,262.04

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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.