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Finding the Fourth Proportional to 206,974.40, 310,218.60 and 204,758.24

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Solution

The fourth proportional to 206,974.40, 310,218.60 and 204,758.24 is: 306,896.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,974.40 : 310,218.60 = 204,758.24 : x
  2. Step 2: Convert to fraction form
    206,974.40/310,218.60 = 204,758.24/x
  3. Step 3: Cross multiply
    206,974.40x = 310,218.60 × 204,758.24
  4. Step 4: Simplify right side
    206,974.40x = 63,519,814,551.26
  5. Step 5: Solve for x
    x = 63,519,814,551.26/206,974.40
  6. Step 6: Final answer
    x = 306,896.96

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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.