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Finding the Fourth Proportional to 442,677.40, 664,793.70 and 428,680.60

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Solution

The fourth proportional to 442,677.40, 664,793.70 and 428,680.60 is: 643,773.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,677.40 : 664,793.70 = 428,680.60 : x
  2. Step 2: Convert to fraction form
    442,677.40/664,793.70 = 428,680.60/x
  3. Step 3: Cross multiply
    442,677.40x = 664,793.70 × 428,680.60
  4. Step 4: Simplify right side
    442,677.40x = 284,984,162,192.22
  5. Step 5: Solve for x
    x = 284,984,162,192.22/442,677.40
  6. Step 6: Final answer
    x = 643,773.91

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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.