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Finding the Fourth Proportional to 408,372.75, 613,122.30 and 281,712.65

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Solution

The fourth proportional to 408,372.75, 613,122.30 and 281,712.65 is: 422,957.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,372.75 : 613,122.30 = 281,712.65 : x
  2. Step 2: Convert to fraction form
    408,372.75/613,122.30 = 281,712.65/x
  3. Step 3: Cross multiply
    408,372.75x = 613,122.30 × 281,712.65
  4. Step 4: Simplify right side
    408,372.75x = 172,724,304,841.48
  5. Step 5: Solve for x
    x = 172,724,304,841.48/408,372.75
  6. Step 6: Final answer
    x = 422,957.47

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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.