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Finding the Fourth Proportional to 393,691.52, 590,630.84 and 127,451.91

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Solution

The fourth proportional to 393,691.52, 590,630.84 and 127,451.91 is: 191,208.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,691.52 : 590,630.84 = 127,451.91 : x
  2. Step 2: Convert to fraction form
    393,691.52/590,630.84 = 127,451.91/x
  3. Step 3: Cross multiply
    393,691.52x = 590,630.84 × 127,451.91
  4. Step 4: Simplify right side
    393,691.52x = 75,277,028,025.64
  5. Step 5: Solve for x
    x = 75,277,028,025.64/393,691.52
  6. Step 6: Final answer
    x = 191,208.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.