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Finding the Fourth Proportional to 396,517.31, 545,810.96 and 342,241.67

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Solution

The fourth proportional to 396,517.31, 545,810.96 and 342,241.67 is: 471,099.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,517.31 : 545,810.96 = 342,241.67 : x
  2. Step 2: Convert to fraction form
    396,517.31/545,810.96 = 342,241.67/x
  3. Step 3: Cross multiply
    396,517.31x = 545,810.96 × 342,241.67
  4. Step 4: Simplify right side
    396,517.31x = 186,799,250,014.44
  5. Step 5: Solve for x
    x = 186,799,250,014.44/396,517.31
  6. Step 6: Final answer
    x = 471,099.87

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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.