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Finding the Fourth Proportional to 412,744.80, 619,117.24 and 272,470.62

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Solution

The fourth proportional to 412,744.80, 619,117.24 and 272,470.62 is: 408,705.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,744.80 : 619,117.24 = 272,470.62 : x
  2. Step 2: Convert to fraction form
    412,744.80/619,117.24 = 272,470.62/x
  3. Step 3: Cross multiply
    412,744.80x = 619,117.24 × 272,470.62
  4. Step 4: Simplify right side
    412,744.80x = 168,691,258,235.49
  5. Step 5: Solve for x
    x = 168,691,258,235.49/412,744.80
  6. Step 6: Final answer
    x = 408,705.96

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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.