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Finding the Fourth Proportional to 265,909.50, 398,640.52 and 123,682.51

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Solution

The fourth proportional to 265,909.50, 398,640.52 and 123,682.51 is: 185,419.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,909.50 : 398,640.52 = 123,682.51 : x
  2. Step 2: Convert to fraction form
    265,909.50/398,640.52 = 123,682.51/x
  3. Step 3: Cross multiply
    265,909.50x = 398,640.52 × 123,682.51
  4. Step 4: Simplify right side
    265,909.50x = 49,304,860,754.21
  5. Step 5: Solve for x
    x = 49,304,860,754.21/265,909.50
  6. Step 6: Final answer
    x = 185,419.70

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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.