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Finding the Fourth Proportional to 285,764.97, 428,614.56 and 75,419.31

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Solution

The fourth proportional to 285,764.97, 428,614.56 and 75,419.31 is: 113,120.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,764.97 : 428,614.56 = 75,419.31 : x
  2. Step 2: Convert to fraction form
    285,764.97/428,614.56 = 75,419.31/x
  3. Step 3: Cross multiply
    285,764.97x = 428,614.56 × 75,419.31
  4. Step 4: Simplify right side
    285,764.97x = 32,325,814,371.15
  5. Step 5: Solve for x
    x = 32,325,814,371.15/285,764.97
  6. Step 6: Final answer
    x = 113,120.28

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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.