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Finding the Fourth Proportional to 271,228, 406,842.08 and 84,239.52

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Solution

The fourth proportional to 271,228, 406,842.08 and 84,239.52 is: 126,359.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,228 : 406,842.08 = 84,239.52 : x
  2. Step 2: Convert to fraction form
    271,228/406,842.08 = 84,239.52/x
  3. Step 3: Cross multiply
    271,228x = 406,842.08 × 84,239.52
  4. Step 4: Simplify right side
    271,228x = 34,272,181,535.00
  5. Step 5: Solve for x
    x = 34,272,181,535.00/271,228
  6. Step 6: Final answer
    x = 126,359.30

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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.