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Finding the Fourth Proportional to 408,553.74, 612,847.08 and 142,341.21

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Solution

The fourth proportional to 408,553.74, 612,847.08 and 142,341.21 is: 213,517.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,553.74 : 612,847.08 = 142,341.21 : x
  2. Step 2: Convert to fraction form
    408,553.74/612,847.08 = 142,341.21/x
  3. Step 3: Cross multiply
    408,553.74x = 612,847.08 × 142,341.21
  4. Step 4: Simplify right side
    408,553.74x = 87,233,394,912.17
  5. Step 5: Solve for x
    x = 87,233,394,912.17/408,553.74
  6. Step 6: Final answer
    x = 213,517.55

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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.