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Finding the Fourth Proportional to 275,517.22, 412,881.20 and 156,943.74

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Solution

The fourth proportional to 275,517.22, 412,881.20 and 156,943.74 is: 235,190.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,517.22 : 412,881.20 = 156,943.74 : x
  2. Step 2: Convert to fraction form
    275,517.22/412,881.20 = 156,943.74/x
  3. Step 3: Cross multiply
    275,517.22x = 412,881.20 × 156,943.74
  4. Step 4: Simplify right side
    275,517.22x = 64,799,119,703.69
  5. Step 5: Solve for x
    x = 64,799,119,703.69/275,517.22
  6. Step 6: Final answer
    x = 235,190.82

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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.