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Finding the Fourth Proportional to 392,470.40, 588,705.60 and 155,691.20

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Solution

The fourth proportional to 392,470.40, 588,705.60 and 155,691.20 is: 233,536.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,470.40 : 588,705.60 = 155,691.20 : x
  2. Step 2: Convert to fraction form
    392,470.40/588,705.60 = 155,691.20/x
  3. Step 3: Cross multiply
    392,470.40x = 588,705.60 × 155,691.20
  4. Step 4: Simplify right side
    392,470.40x = 91,656,281,310.72
  5. Step 5: Solve for x
    x = 91,656,281,310.72/392,470.40
  6. Step 6: Final answer
    x = 233,536.80

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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.