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Finding the Fourth Proportional to 265,324.56, 398,012.31 and 75,791.76

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Solution

The fourth proportional to 265,324.56, 398,012.31 and 75,791.76 is: 113,694.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,324.56 : 398,012.31 = 75,791.76 : x
  2. Step 2: Convert to fraction form
    265,324.56/398,012.31 = 75,791.76/x
  3. Step 3: Cross multiply
    265,324.56x = 398,012.31 × 75,791.76
  4. Step 4: Simplify right side
    265,324.56x = 30,166,053,476.57
  5. Step 5: Solve for x
    x = 30,166,053,476.57/265,324.56
  6. Step 6: Final answer
    x = 113,694.92

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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.