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Finding the Fourth Proportional to 431,651.60, 647,536.53 and 147,265.86

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Solution

The fourth proportional to 431,651.60, 647,536.53 and 147,265.86 is: 220,918.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,651.60 : 647,536.53 = 147,265.86 : x
  2. Step 2: Convert to fraction form
    431,651.60/647,536.53 = 147,265.86/x
  3. Step 3: Cross multiply
    431,651.60x = 647,536.53 × 147,265.86
  4. Step 4: Simplify right side
    431,651.60x = 95,360,023,971.87
  5. Step 5: Solve for x
    x = 95,360,023,971.87/431,651.60
  6. Step 6: Final answer
    x = 220,918.97

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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.