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Finding the Fourth Proportional to 412,013.43, 618,249.78 and 222,469.79

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Solution

The fourth proportional to 412,013.43, 618,249.78 and 222,469.79 is: 333,828.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,013.43 : 618,249.78 = 222,469.79 : x
  2. Step 2: Convert to fraction form
    412,013.43/618,249.78 = 222,469.79/x
  3. Step 3: Cross multiply
    412,013.43x = 618,249.78 × 222,469.79
  4. Step 4: Simplify right side
    412,013.43x = 137,541,898,724.15
  5. Step 5: Solve for x
    x = 137,541,898,724.15/412,013.43
  6. Step 6: Final answer
    x = 333,828.68

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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.