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Finding the Fourth Proportional to 288,793.90, 398,375.56 and 167,921.83

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Solution

The fourth proportional to 288,793.90, 398,375.56 and 167,921.83 is: 231,639.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,793.90 : 398,375.56 = 167,921.83 : x
  2. Step 2: Convert to fraction form
    288,793.90/398,375.56 = 167,921.83/x
  3. Step 3: Cross multiply
    288,793.90x = 398,375.56 × 167,921.83
  4. Step 4: Simplify right side
    288,793.90x = 66,895,953,062.47
  5. Step 5: Solve for x
    x = 66,895,953,062.47/288,793.90
  6. Step 6: Final answer
    x = 231,639.08

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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.