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Finding the Fourth Proportional to 288,952.26, 398,791.89 and 161,654.10

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Solution

The fourth proportional to 288,952.26, 398,791.89 and 161,654.10 is: 223,103.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,952.26 : 398,791.89 = 161,654.10 : x
  2. Step 2: Convert to fraction form
    288,952.26/398,791.89 = 161,654.10/x
  3. Step 3: Cross multiply
    288,952.26x = 398,791.89 × 161,654.10
  4. Step 4: Simplify right side
    288,952.26x = 64,466,344,065.25
  5. Step 5: Solve for x
    x = 64,466,344,065.25/288,952.26
  6. Step 6: Final answer
    x = 223,103.79

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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.