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Finding the Fourth Proportional to 274,778.69, 412,120.45 and 82,650.34

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Solution

The fourth proportional to 274,778.69, 412,120.45 and 82,650.34 is: 123,961.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,778.69 : 412,120.45 = 82,650.34 : x
  2. Step 2: Convert to fraction form
    274,778.69/412,120.45 = 82,650.34/x
  3. Step 3: Cross multiply
    274,778.69x = 412,120.45 × 82,650.34
  4. Step 4: Simplify right side
    274,778.69x = 34,061,892,839.60
  5. Step 5: Solve for x
    x = 34,061,892,839.60/274,778.69
  6. Step 6: Final answer
    x = 123,961.19

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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.