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Finding the Fourth Proportional to 265,864.64, 398,663.70 and 88,309.40

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Solution

The fourth proportional to 265,864.64, 398,663.70 and 88,309.40 is: 132,419.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,864.64 : 398,663.70 = 88,309.40 : x
  2. Step 2: Convert to fraction form
    265,864.64/398,663.70 = 88,309.40/x
  3. Step 3: Cross multiply
    265,864.64x = 398,663.70 × 88,309.40
  4. Step 4: Simplify right side
    265,864.64x = 35,205,752,148.78
  5. Step 5: Solve for x
    x = 35,205,752,148.78/265,864.64
  6. Step 6: Final answer
    x = 132,419.84

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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.