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Finding the Fourth Proportional to 275,302.85, 412,910.10 and 75,576.60

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Solution

The fourth proportional to 275,302.85, 412,910.10 and 75,576.60 is: 113,352.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,302.85 : 412,910.10 = 75,576.60 : x
  2. Step 2: Convert to fraction form
    275,302.85/412,910.10 = 75,576.60/x
  3. Step 3: Cross multiply
    275,302.85x = 412,910.10 × 75,576.60
  4. Step 4: Simplify right side
    275,302.85x = 31,206,341,463.66
  5. Step 5: Solve for x
    x = 31,206,341,463.66/275,302.85
  6. Step 6: Final answer
    x = 113,352.78

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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.