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Finding the Fourth Proportional to 265,414.92, 398,189.82 and 78,426.42

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Solution

The fourth proportional to 265,414.92, 398,189.82 and 78,426.42 is: 117,659.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,414.92 : 398,189.82 = 78,426.42 : x
  2. Step 2: Convert to fraction form
    265,414.92/398,189.82 = 78,426.42/x
  3. Step 3: Cross multiply
    265,414.92x = 398,189.82 × 78,426.42
  4. Step 4: Simplify right side
    265,414.92x = 31,228,602,063.04
  5. Step 5: Solve for x
    x = 31,228,602,063.04/265,414.92
  6. Step 6: Final answer
    x = 117,659.56

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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.