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Finding the Fourth Proportional to 408,613,647.30, 563,898,796.65 and 222,986,627.70

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Solution

The fourth proportional to 408,613,647.30, 563,898,796.65 and 222,986,627.70 is: 307,728,074.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,613,647.30 : 563,898,796.65 = 222,986,627.70 : x
  2. Step 2: Convert to fraction form
    408,613,647.30/563,898,796.65 = 222,986,627.70/x
  3. Step 3: Cross multiply
    408,613,647.30x = 563,898,796.65 × 222,986,627.70
  4. Step 4: Simplify right side
    408,613,647.30x = 125,741,891,029,071,552
  5. Step 5: Solve for x
    x = 125,741,891,029,071,552/408,613,647.30
  6. Step 6: Final answer
    x = 307,728,074.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.