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Finding the Fourth Proportional to 392,555.40, 588,833.10 and 329,569.80

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Solution

The fourth proportional to 392,555.40, 588,833.10 and 329,569.80 is: 494,354.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,555.40 : 588,833.10 = 329,569.80 : x
  2. Step 2: Convert to fraction form
    392,555.40/588,833.10 = 329,569.80/x
  3. Step 3: Cross multiply
    392,555.40x = 588,833.10 × 329,569.80
  4. Step 4: Simplify right side
    392,555.40x = 194,061,607,000.38
  5. Step 5: Solve for x
    x = 194,061,607,000.38/392,555.40
  6. Step 6: Final answer
    x = 494,354.70

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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.