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Finding the Fourth Proportional to 431,654,466.60, 647,481,699.90 and 386,304,834.60

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Solution

The fourth proportional to 431,654,466.60, 647,481,699.90 and 386,304,834.60 is: 579,457,251.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,654,466.60 : 647,481,699.90 = 386,304,834.60 : x
  2. Step 2: Convert to fraction form
    431,654,466.60/647,481,699.90 = 386,304,834.60/x
  3. Step 3: Cross multiply
    431,654,466.60x = 647,481,699.90 × 386,304,834.60
  4. Step 4: Simplify right side
    431,654,466.60x = 250,125,310,986,396,352
  5. Step 5: Solve for x
    x = 250,125,310,986,396,352/431,654,466.60
  6. Step 6: Final answer
    x = 579,457,251.90

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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.