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Finding the Fourth Proportional to 265,419.59, 397,193.97 and 165,626.78

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Solution

The fourth proportional to 265,419.59, 397,193.97 and 165,626.78 is: 247,856.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,419.59 : 397,193.97 = 165,626.78 : x
  2. Step 2: Convert to fraction form
    265,419.59/397,193.97 = 165,626.78/x
  3. Step 3: Cross multiply
    265,419.59x = 397,193.97 × 165,626.78
  4. Step 4: Simplify right side
    265,419.59x = 65,785,958,286.52
  5. Step 5: Solve for x
    x = 65,785,958,286.52/265,419.59
  6. Step 6: Final answer
    x = 247,856.45

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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.