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Finding the Fourth Proportional to 295,943.26, 408,402.40 and 161,815.90

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Solution

The fourth proportional to 295,943.26, 408,402.40 and 161,815.90 is: 223,306.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,943.26 : 408,402.40 = 161,815.90 : x
  2. Step 2: Convert to fraction form
    295,943.26/408,402.40 = 161,815.90/x
  3. Step 3: Cross multiply
    295,943.26x = 408,402.40 × 161,815.90
  4. Step 4: Simplify right side
    295,943.26x = 66,086,001,918.16
  5. Step 5: Solve for x
    x = 66,086,001,918.16/295,943.26
  6. Step 6: Final answer
    x = 223,306.33

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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.