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Finding the Fourth Proportional to 412,014.43, 618,251.28 and 222,470.79

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Solution

The fourth proportional to 412,014.43, 618,251.28 and 222,470.79 is: 333,830.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,014.43 : 618,251.28 = 222,470.79 : x
  2. Step 2: Convert to fraction form
    412,014.43/618,251.28 = 222,470.79/x
  3. Step 3: Cross multiply
    412,014.43x = 618,251.28 × 222,470.79
  4. Step 4: Simplify right side
    412,014.43x = 137,542,850,680.11
  5. Step 5: Solve for x
    x = 137,542,850,680.11/412,014.43
  6. Step 6: Final answer
    x = 333,830.18

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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.