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Finding the Fourth Proportional to 270,881.85, 405,949.10 and 204,248.75

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Solution

The fourth proportional to 270,881.85, 405,949.10 and 204,248.75 is: 306,091.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,881.85 : 405,949.10 = 204,248.75 : x
  2. Step 2: Convert to fraction form
    270,881.85/405,949.10 = 204,248.75/x
  3. Step 3: Cross multiply
    270,881.85x = 405,949.10 × 204,248.75
  4. Step 4: Simplify right side
    270,881.85x = 82,914,593,187.64
  5. Step 5: Solve for x
    x = 82,914,593,187.64/270,881.85
  6. Step 6: Final answer
    x = 306,091.36

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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.