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Finding the Fourth Proportional to 312,713.94, 431,591.56 and 198,003.25

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Solution

The fourth proportional to 312,713.94, 431,591.56 and 198,003.25 is: 273,273.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,713.94 : 431,591.56 = 198,003.25 : x
  2. Step 2: Convert to fraction form
    312,713.94/431,591.56 = 198,003.25/x
  3. Step 3: Cross multiply
    312,713.94x = 431,591.56 × 198,003.25
  4. Step 4: Simplify right side
    312,713.94x = 85,456,531,552.57
  5. Step 5: Solve for x
    x = 85,456,531,552.57/312,713.94
  6. Step 6: Final answer
    x = 273,273.82

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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.