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Finding the Fourth Proportional to 260,918.64, 391,251.36 and 127,642.80

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Solution

The fourth proportional to 260,918.64, 391,251.36 and 127,642.80 is: 191,402.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,918.64 : 391,251.36 = 127,642.80 : x
  2. Step 2: Convert to fraction form
    260,918.64/391,251.36 = 127,642.80/x
  3. Step 3: Cross multiply
    260,918.64x = 391,251.36 × 127,642.80
  4. Step 4: Simplify right side
    260,918.64x = 49,940,419,094.21
  5. Step 5: Solve for x
    x = 49,940,419,094.21/260,918.64
  6. Step 6: Final answer
    x = 191,402.27

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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.