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Finding the Fourth Proportional to 431,651.26, 647,535.96 and 147,265.44

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Solution

The fourth proportional to 431,651.26, 647,535.96 and 147,265.44 is: 220,918.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,651.26 : 647,535.96 = 147,265.44 : x
  2. Step 2: Convert to fraction form
    431,651.26/647,535.96 = 147,265.44/x
  3. Step 3: Cross multiply
    431,651.26x = 647,535.96 × 147,265.44
  4. Step 4: Simplify right side
    431,651.26x = 95,359,668,065.22
  5. Step 5: Solve for x
    x = 95,359,668,065.22/431,651.26
  6. Step 6: Final answer
    x = 220,918.31

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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.