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Finding the Fourth Proportional to 392,002.15, 588,019.17 and 186,731.28

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Solution

The fourth proportional to 392,002.15, 588,019.17 and 186,731.28 is: 280,104.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,002.15 : 588,019.17 = 186,731.28 : x
  2. Step 2: Convert to fraction form
    392,002.15/588,019.17 = 186,731.28/x
  3. Step 3: Cross multiply
    392,002.15x = 588,019.17 × 186,731.28
  4. Step 4: Simplify right side
    392,002.15x = 109,801,575,183.95
  5. Step 5: Solve for x
    x = 109,801,575,183.95/392,002.15
  6. Step 6: Final answer
    x = 280,104.52

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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.