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Finding the Fourth Proportional to 275,309.16, 412,876.24 and 187,129.32

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Solution

The fourth proportional to 275,309.16, 412,876.24 and 187,129.32 is: 280,634.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,309.16 : 412,876.24 = 187,129.32 : x
  2. Step 2: Convert to fraction form
    275,309.16/412,876.24 = 187,129.32/x
  3. Step 3: Cross multiply
    275,309.16x = 412,876.24 × 187,129.32
  4. Step 4: Simplify right side
    275,309.16x = 77,261,250,035.36
  5. Step 5: Solve for x
    x = 77,261,250,035.36/275,309.16
  6. Step 6: Final answer
    x = 280,634.51

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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.