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Finding the Fourth Proportional to 265,597.31, 398,178.79 and 123,531.14

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Solution

The fourth proportional to 265,597.31, 398,178.79 and 123,531.14 is: 185,195.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,597.31 : 398,178.79 = 123,531.14 : x
  2. Step 2: Convert to fraction form
    265,597.31/398,178.79 = 123,531.14/x
  3. Step 3: Cross multiply
    265,597.31x = 398,178.79 × 123,531.14
  4. Step 4: Simplify right side
    265,597.31x = 49,187,480,539.14
  5. Step 5: Solve for x
    x = 49,187,480,539.14/265,597.31
  6. Step 6: Final answer
    x = 185,195.70

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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.