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Finding the Fourth Proportional to 265,906.25, 398,635.65 and 123,679.25

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Solution

The fourth proportional to 265,906.25, 398,635.65 and 123,679.25 is: 185,414.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,906.25 : 398,635.65 = 123,679.25 : x
  2. Step 2: Convert to fraction form
    265,906.25/398,635.65 = 123,679.25/x
  3. Step 3: Cross multiply
    265,906.25x = 398,635.65 × 123,679.25
  4. Step 4: Simplify right side
    265,906.25x = 49,302,958,215.26
  5. Step 5: Solve for x
    x = 49,302,958,215.26/265,906.25
  6. Step 6: Final answer
    x = 185,414.82

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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.