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Finding the Fourth Proportional to 392,688.86, 588,695.95 and 136,488.14

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Solution

The fourth proportional to 392,688.86, 588,695.95 and 136,488.14 is: 204,614.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,688.86 : 588,695.95 = 136,488.14 : x
  2. Step 2: Convert to fraction form
    392,688.86/588,695.95 = 136,488.14/x
  3. Step 3: Cross multiply
    392,688.86x = 588,695.95 × 136,488.14
  4. Step 4: Simplify right side
    392,688.86x = 80,350,015,241.03
  5. Step 5: Solve for x
    x = 80,350,015,241.03/392,688.86
  6. Step 6: Final answer
    x = 204,614.96

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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.