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Finding the Fourth Proportional to 206,080.27, 310,709.65 and 204,800.88

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Solution

The fourth proportional to 206,080.27, 310,709.65 and 204,800.88 is: 308,780.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,080.27 : 310,709.65 = 204,800.88 : x
  2. Step 2: Convert to fraction form
    206,080.27/310,709.65 = 204,800.88/x
  3. Step 3: Cross multiply
    206,080.27x = 310,709.65 × 204,800.88
  4. Step 4: Simplify right side
    206,080.27x = 63,633,609,744.49
  5. Step 5: Solve for x
    x = 63,633,609,744.49/206,080.27
  6. Step 6: Final answer
    x = 308,780.70

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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.