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Finding the Fourth Proportional to 284,221.32, 392,225.49 and 156,897

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Solution

The fourth proportional to 284,221.32, 392,225.49 and 156,897 is: 216,517.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,221.32 : 392,225.49 = 156,897 : x
  2. Step 2: Convert to fraction form
    284,221.32/392,225.49 = 156,897/x
  3. Step 3: Cross multiply
    284,221.32x = 392,225.49 × 156,897
  4. Step 4: Simplify right side
    284,221.32x = 61,539,002,704.53
  5. Step 5: Solve for x
    x = 61,539,002,704.53/284,221.32
  6. Step 6: Final answer
    x = 216,517.90

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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.