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Finding the Fourth Proportional to 295,932.76, 408,387.90 and 161,805.40

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Solution

The fourth proportional to 295,932.76, 408,387.90 and 161,805.40 is: 223,291.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,932.76 : 408,387.90 = 161,805.40 : x
  2. Step 2: Convert to fraction form
    295,932.76/408,387.90 = 161,805.40/x
  3. Step 3: Cross multiply
    295,932.76x = 408,387.90 × 161,805.40
  4. Step 4: Simplify right side
    295,932.76x = 66,079,367,514.66
  5. Step 5: Solve for x
    x = 66,079,367,514.66/295,932.76
  6. Step 6: Final answer
    x = 223,291.83

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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.