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Finding the Fourth Proportional to 392,233.32, 588,320.64 and 139,503.60

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Solution

The fourth proportional to 392,233.32, 588,320.64 and 139,503.60 is: 209,244.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,233.32 : 588,320.64 = 139,503.60 : x
  2. Step 2: Convert to fraction form
    392,233.32/588,320.64 = 139,503.60/x
  3. Step 3: Cross multiply
    392,233.32x = 588,320.64 × 139,503.60
  4. Step 4: Simplify right side
    392,233.32x = 82,072,847,234.30
  5. Step 5: Solve for x
    x = 82,072,847,234.30/392,233.32
  6. Step 6: Final answer
    x = 209,244.96

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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.