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Finding the Fourth Proportional to 408,398,354.88, 563,589,726.72 and 222,759,364.80

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Solution

The fourth proportional to 408,398,354.88, 563,589,726.72 and 222,759,364.80 is: 307,407,921.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,398,354.88 : 563,589,726.72 = 222,759,364.80 : x
  2. Step 2: Convert to fraction form
    408,398,354.88/563,589,726.72 = 222,759,364.80/x
  3. Step 3: Cross multiply
    408,398,354.88x = 563,589,726.72 × 222,759,364.80
  4. Step 4: Simplify right side
    408,398,354.88x = 125,544,889,531,952,800
  5. Step 5: Solve for x
    x = 125,544,889,531,952,800/408,398,354.88
  6. Step 6: Final answer
    x = 307,407,921.78

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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.