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Finding the Fourth Proportional to 271,891.40, 407,837.10 and 205,536.20

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Solution

The fourth proportional to 271,891.40, 407,837.10 and 205,536.20 is: 308,304.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,891.40 : 407,837.10 = 205,536.20 : x
  2. Step 2: Convert to fraction form
    271,891.40/407,837.10 = 205,536.20/x
  3. Step 3: Cross multiply
    271,891.40x = 407,837.10 × 205,536.20
  4. Step 4: Simplify right side
    271,891.40x = 83,825,287,753.02
  5. Step 5: Solve for x
    x = 83,825,287,753.02/271,891.40
  6. Step 6: Final answer
    x = 308,304.30

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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.