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Finding the Fourth Proportional to 284,729, 392,891.91 and 157,387.28

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Solution

The fourth proportional to 284,729, 392,891.91 and 157,387.28 is: 217,175.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,729 : 392,891.91 = 157,387.28 : x
  2. Step 2: Convert to fraction form
    284,729/392,891.91 = 157,387.28/x
  3. Step 3: Cross multiply
    284,729x = 392,891.91 × 157,387.28
  4. Step 4: Simplify right side
    284,729x = 61,836,189,048.90
  5. Step 5: Solve for x
    x = 61,836,189,048.90/284,729
  6. Step 6: Final answer
    x = 217,175.59

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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.