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Finding the Fourth Proportional to 271,144.60, 406,947.30 and 218,613.40

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Solution

The fourth proportional to 271,144.60, 406,947.30 and 218,613.40 is: 328,105.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,144.60 : 406,947.30 = 218,613.40 : x
  2. Step 2: Convert to fraction form
    271,144.60/406,947.30 = 218,613.40/x
  3. Step 3: Cross multiply
    271,144.60x = 406,947.30 × 218,613.40
  4. Step 4: Simplify right side
    271,144.60x = 88,964,132,873.82
  5. Step 5: Solve for x
    x = 88,964,132,873.82/271,144.60
  6. Step 6: Final answer
    x = 328,105.86

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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.