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Finding the Fourth Proportional to 284,727, 392,889.14 and 157,385.28

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Solution

The fourth proportional to 284,727, 392,889.14 and 157,385.28 is: 217,172.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,727 : 392,889.14 = 157,385.28 : x
  2. Step 2: Convert to fraction form
    284,727/392,889.14 = 157,385.28/x
  3. Step 3: Cross multiply
    284,727x = 392,889.14 × 157,385.28
  4. Step 4: Simplify right side
    284,727x = 61,834,967,307.86
  5. Step 5: Solve for x
    x = 61,834,967,307.86/284,727
  6. Step 6: Final answer
    x = 217,172.83

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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.