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Finding the Fourth Proportional to 271,276.60, 406,953.30 and 84,268.60

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Solution

The fourth proportional to 271,276.60, 406,953.30 and 84,268.60 is: 126,414.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,276.60 : 406,953.30 = 84,268.60 : x
  2. Step 2: Convert to fraction form
    271,276.60/406,953.30 = 84,268.60/x
  3. Step 3: Cross multiply
    271,276.60x = 406,953.30 × 84,268.60
  4. Step 4: Simplify right side
    271,276.60x = 34,293,384,856.38
  5. Step 5: Solve for x
    x = 34,293,384,856.38/271,276.60
  6. Step 6: Final answer
    x = 126,414.83

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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.