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Finding the Fourth Proportional to 278,908.26, 418,196 and 110,452.74

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Solution

The fourth proportional to 278,908.26, 418,196 and 110,452.74 is: 165,613.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,908.26 : 418,196 = 110,452.74 : x
  2. Step 2: Convert to fraction form
    278,908.26/418,196 = 110,452.74/x
  3. Step 3: Cross multiply
    278,908.26x = 418,196 × 110,452.74
  4. Step 4: Simplify right side
    278,908.26x = 46,190,894,057.04
  5. Step 5: Solve for x
    x = 46,190,894,057.04/278,908.26
  6. Step 6: Final answer
    x = 165,613.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.