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Finding the Fourth Proportional to 270,999.02, 406,351.92 and 215,198.12

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Solution

The fourth proportional to 270,999.02, 406,351.92 and 215,198.12 is: 322,680.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,999.02 : 406,351.92 = 215,198.12 : x
  2. Step 2: Convert to fraction form
    270,999.02/406,351.92 = 215,198.12/x
  3. Step 3: Cross multiply
    270,999.02x = 406,351.92 × 215,198.12
  4. Step 4: Simplify right side
    270,999.02x = 87,446,169,242.39
  5. Step 5: Solve for x
    x = 87,446,169,242.39/270,999.02
  6. Step 6: Final answer
    x = 322,680.76

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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.