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Finding the Fourth Proportional to 205,427.70, 308,141.55 and 180,933.30

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Solution

The fourth proportional to 205,427.70, 308,141.55 and 180,933.30 is: 271,399.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,427.70 : 308,141.55 = 180,933.30 : x
  2. Step 2: Convert to fraction form
    205,427.70/308,141.55 = 180,933.30/x
  3. Step 3: Cross multiply
    205,427.70x = 308,141.55 × 180,933.30
  4. Step 4: Simplify right side
    205,427.70x = 55,753,067,508.62
  5. Step 5: Solve for x
    x = 55,753,067,508.62/205,427.70
  6. Step 6: Final answer
    x = 271,399.95

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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.