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Finding the Fourth Proportional to 408,398,365.88, 563,589,741.90 and 222,759,375.80

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Solution

The fourth proportional to 408,398,365.88, 563,589,741.90 and 222,759,375.80 is: 307,407,936.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,398,365.88 : 563,589,741.90 = 222,759,375.80 : x
  2. Step 2: Convert to fraction form
    408,398,365.88/563,589,741.90 = 222,759,375.80/x
  3. Step 3: Cross multiply
    408,398,365.88x = 563,589,741.90 × 222,759,375.80
  4. Step 4: Simplify right side
    408,398,365.88x = 125,544,899,112,927,104
  5. Step 5: Solve for x
    x = 125,544,899,112,927,104/408,398,365.88
  6. Step 6: Final answer
    x = 307,407,936.96

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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.