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Finding the Fourth Proportional to 265,489.40, 398,171.20 and 75,943.92

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Solution

The fourth proportional to 265,489.40, 398,171.20 and 75,943.92 is: 113,897.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,489.40 : 398,171.20 = 75,943.92 : x
  2. Step 2: Convert to fraction form
    265,489.40/398,171.20 = 75,943.92/x
  3. Step 3: Cross multiply
    265,489.40x = 398,171.20 × 75,943.92
  4. Step 4: Simplify right side
    265,489.40x = 30,238,681,759.10
  5. Step 5: Solve for x
    x = 30,238,681,759.10/265,489.40
  6. Step 6: Final answer
    x = 113,897.89

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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.