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Finding the Fourth Proportional to 394,122.72, 543,694.50 and 232,899.78

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Solution

The fourth proportional to 394,122.72, 543,694.50 and 232,899.78 is: 321,286.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,122.72 : 543,694.50 = 232,899.78 : x
  2. Step 2: Convert to fraction form
    394,122.72/543,694.50 = 232,899.78/x
  3. Step 3: Cross multiply
    394,122.72x = 543,694.50 × 232,899.78
  4. Step 4: Simplify right side
    394,122.72x = 126,626,329,437.21
  5. Step 5: Solve for x
    x = 126,626,329,437.21/394,122.72
  6. Step 6: Final answer
    x = 321,286.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.