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Finding the Fourth Proportional to 392,543.20, 588,123.60 and 322,040.80

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Solution

The fourth proportional to 392,543.20, 588,123.60 and 322,040.80 is: 482,494.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,543.20 : 588,123.60 = 322,040.80 : x
  2. Step 2: Convert to fraction form
    392,543.20/588,123.60 = 322,040.80/x
  3. Step 3: Cross multiply
    392,543.20x = 588,123.60 × 322,040.80
  4. Step 4: Simplify right side
    392,543.20x = 189,399,794,642.88
  5. Step 5: Solve for x
    x = 189,399,794,642.88/392,543.20
  6. Step 6: Final answer
    x = 482,494.14

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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.