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Finding the Fourth Proportional to 284,742, 392,952.16 and 157,425.80

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Solution

The fourth proportional to 284,742, 392,952.16 and 157,425.80 is: 217,252.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,742 : 392,952.16 = 157,425.80 : x
  2. Step 2: Convert to fraction form
    284,742/392,952.16 = 157,425.80/x
  3. Step 3: Cross multiply
    284,742x = 392,952.16 × 157,425.80
  4. Step 4: Simplify right side
    284,742x = 61,860,806,381.75
  5. Step 5: Solve for x
    x = 61,860,806,381.75/284,742
  6. Step 6: Final answer
    x = 217,252.13

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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.