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Finding the Fourth Proportional to 494,098.31, 681,581.80 and 287,344.07

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Solution

The fourth proportional to 494,098.31, 681,581.80 and 287,344.07 is: 396,375.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,098.31 : 681,581.80 = 287,344.07 : x
  2. Step 2: Convert to fraction form
    494,098.31/681,581.80 = 287,344.07/x
  3. Step 3: Cross multiply
    494,098.31x = 681,581.80 × 287,344.07
  4. Step 4: Simplify right side
    494,098.31x = 195,848,488,449.93
  5. Step 5: Solve for x
    x = 195,848,488,449.93/494,098.31
  6. Step 6: Final answer
    x = 396,375.55

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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.