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Finding the Fourth Proportional to 271,269.20, 406,903.80 and 218,781.20

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Solution

The fourth proportional to 271,269.20, 406,903.80 and 218,781.20 is: 328,171.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,269.20 : 406,903.80 = 218,781.20 : x
  2. Step 2: Convert to fraction form
    271,269.20/406,903.80 = 218,781.20/x
  3. Step 3: Cross multiply
    271,269.20x = 406,903.80 × 218,781.20
  4. Step 4: Simplify right side
    271,269.20x = 89,022,901,648.56
  5. Step 5: Solve for x
    x = 89,022,901,648.56/271,269.20
  6. Step 6: Final answer
    x = 328,171.80

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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.