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Finding the Fourth Proportional to 265,909.75, 398,640.90 and 123,682.75

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Solution

The fourth proportional to 265,909.75, 398,640.90 and 123,682.75 is: 185,420.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,909.75 : 398,640.90 = 123,682.75 : x
  2. Step 2: Convert to fraction form
    265,909.75/398,640.90 = 123,682.75/x
  3. Step 3: Cross multiply
    265,909.75x = 398,640.90 × 123,682.75
  4. Step 4: Simplify right side
    265,909.75x = 49,305,002,774.48
  5. Step 5: Solve for x
    x = 49,305,002,774.48/265,909.75
  6. Step 6: Final answer
    x = 185,420.06

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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.