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Finding the Fourth Proportional to 206,079.27, 310,708.14 and 204,799.88

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Solution

The fourth proportional to 206,079.27, 310,708.14 and 204,799.88 is: 308,779.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,079.27 : 310,708.14 = 204,799.88 : x
  2. Step 2: Convert to fraction form
    206,079.27/310,708.14 = 204,799.88/x
  3. Step 3: Cross multiply
    206,079.27x = 310,708.14 × 204,799.88
  4. Step 4: Simplify right side
    206,079.27x = 63,632,988,233.48
  5. Step 5: Solve for x
    x = 63,632,988,233.48/206,079.27
  6. Step 6: Final answer
    x = 308,779.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.