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Finding the Fourth Proportional to 271,287.90, 406,990.17 and 113,435.10

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Solution

The fourth proportional to 271,287.90, 406,990.17 and 113,435.10 is: 170,177.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,287.90 : 406,990.17 = 113,435.10 : x
  2. Step 2: Convert to fraction form
    271,287.90/406,990.17 = 113,435.10/x
  3. Step 3: Cross multiply
    271,287.90x = 406,990.17 × 113,435.10
  4. Step 4: Simplify right side
    271,287.90x = 46,166,970,632.97
  5. Step 5: Solve for x
    x = 46,166,970,632.97/271,287.90
  6. Step 6: Final answer
    x = 170,177.04

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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.