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Finding the Fourth Proportional to 275,309.40, 412,876.63 and 187,129.56

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Solution

The fourth proportional to 275,309.40, 412,876.63 and 187,129.56 is: 280,634.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,309.40 : 412,876.63 = 187,129.56 : x
  2. Step 2: Convert to fraction form
    275,309.40/412,876.63 = 187,129.56/x
  3. Step 3: Cross multiply
    275,309.40x = 412,876.63 × 187,129.56
  4. Step 4: Simplify right side
    275,309.40x = 77,261,422,835.78
  5. Step 5: Solve for x
    x = 77,261,422,835.78/275,309.40
  6. Step 6: Final answer
    x = 280,634.88

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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.