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Finding the Fourth Proportional to 284,702, 392,885.88 and 157,371.44

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Solution

The fourth proportional to 284,702, 392,885.88 and 157,371.44 is: 217,171.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,702 : 392,885.88 = 157,371.44 : x
  2. Step 2: Convert to fraction form
    284,702/392,885.88 = 157,371.44/x
  3. Step 3: Cross multiply
    284,702x = 392,885.88 × 157,371.44
  4. Step 4: Simplify right side
    284,702x = 61,829,016,691.27
  5. Step 5: Solve for x
    x = 61,829,016,691.27/284,702
  6. Step 6: Final answer
    x = 217,171.00

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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.