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Finding the Fourth Proportional to 442,915.20, 664,243.20 and 158,572.80

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Solution

The fourth proportional to 442,915.20, 664,243.20 and 158,572.80 is: 237,812.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,915.20 : 664,243.20 = 158,572.80 : x
  2. Step 2: Convert to fraction form
    442,915.20/664,243.20 = 158,572.80/x
  3. Step 3: Cross multiply
    442,915.20x = 664,243.20 × 158,572.80
  4. Step 4: Simplify right side
    442,915.20x = 105,330,904,104.96
  5. Step 5: Solve for x
    x = 105,330,904,104.96/442,915.20
  6. Step 6: Final answer
    x = 237,812.80

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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.