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Finding the Fourth Proportional to 431,398,974.80, 647,098,462.20 and 431,398,974.80

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Solution

The fourth proportional to 431,398,974.80, 647,098,462.20 and 431,398,974.80 is: 647,098,462.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,398,974.80 : 647,098,462.20 = 431,398,974.80 : x
  2. Step 2: Convert to fraction form
    431,398,974.80/647,098,462.20 = 431,398,974.80/x
  3. Step 3: Cross multiply
    431,398,974.80x = 647,098,462.20 × 431,398,974.80
  4. Step 4: Simplify right side
    431,398,974.80x = 279,157,613,187,736,576
  5. Step 5: Solve for x
    x = 279,157,613,187,736,576/431,398,974.80
  6. Step 6: Final answer
    x = 647,098,462.20

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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.