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Finding the Fourth Proportional to 720,704.43, 1,081,455.68 and 431,806.14

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Solution

The fourth proportional to 720,704.43, 1,081,455.68 and 431,806.14 is: 647,948.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,704.43 : 1,081,455.68 = 431,806.14 : x
  2. Step 2: Convert to fraction form
    720,704.43/1,081,455.68 = 431,806.14/x
  3. Step 3: Cross multiply
    720,704.43x = 1,081,455.68 × 431,806.14
  4. Step 4: Simplify right side
    720,704.43x = 466,979,203,841.39
  5. Step 5: Solve for x
    x = 466,979,203,841.39/720,704.43
  6. Step 6: Final answer
    x = 647,948.29

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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.