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Finding the Fourth Proportional to 271,505.80, 407,517.90 and 138,536.20

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Solution

The fourth proportional to 271,505.80, 407,517.90 and 138,536.20 is: 207,936.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,505.80 : 407,517.90 = 138,536.20 : x
  2. Step 2: Convert to fraction form
    271,505.80/407,517.90 = 138,536.20/x
  3. Step 3: Cross multiply
    271,505.80x = 407,517.90 × 138,536.20
  4. Step 4: Simplify right side
    271,505.80x = 56,455,981,297.98
  5. Step 5: Solve for x
    x = 56,455,981,297.98/271,505.80
  6. Step 6: Final answer
    x = 207,936.56

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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.