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Finding the Fourth Proportional to 392,689.86, 588,697.45 and 136,489.14

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Solution

The fourth proportional to 392,689.86, 588,697.45 and 136,489.14 is: 204,616.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,689.86 : 588,697.45 = 136,489.14 : x
  2. Step 2: Convert to fraction form
    392,689.86/588,697.45 = 136,489.14/x
  3. Step 3: Cross multiply
    392,689.86x = 588,697.45 × 136,489.14
  4. Step 4: Simplify right side
    392,689.86x = 80,350,808,670.69
  5. Step 5: Solve for x
    x = 80,350,808,670.69/392,689.86
  6. Step 6: Final answer
    x = 204,616.46

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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.