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Finding the Fourth Proportional to 392,631.20, 588,255.60 and 322,128.80

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Solution

The fourth proportional to 392,631.20, 588,255.60 and 322,128.80 is: 482,626.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,631.20 : 588,255.60 = 322,128.80 : x
  2. Step 2: Convert to fraction form
    392,631.20/588,255.60 = 322,128.80/x
  3. Step 3: Cross multiply
    392,631.20x = 588,255.60 × 322,128.80
  4. Step 4: Simplify right side
    392,631.20x = 189,494,070,521.28
  5. Step 5: Solve for x
    x = 189,494,070,521.28/392,631.20
  6. Step 6: Final answer
    x = 482,626.11

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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.