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Finding the Fourth Proportional to 398,641.97, 597,954.71 and 132,404.78

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Solution

The fourth proportional to 398,641.97, 597,954.71 and 132,404.78 is: 198,604.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,641.97 : 597,954.71 = 132,404.78 : x
  2. Step 2: Convert to fraction form
    398,641.97/597,954.71 = 132,404.78/x
  3. Step 3: Cross multiply
    398,641.97x = 597,954.71 × 132,404.78
  4. Step 4: Simplify right side
    398,641.97x = 79,172,063,653.41
  5. Step 5: Solve for x
    x = 79,172,063,653.41/398,641.97
  6. Step 6: Final answer
    x = 198,604.43

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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.