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Finding the Fourth Proportional to 206,747.70, 310,121.55 and 204,998.10

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Solution

The fourth proportional to 206,747.70, 310,121.55 and 204,998.10 is: 307,497.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,747.70 : 310,121.55 = 204,998.10 : x
  2. Step 2: Convert to fraction form
    206,747.70/310,121.55 = 204,998.10/x
  3. Step 3: Cross multiply
    206,747.70x = 310,121.55 × 204,998.10
  4. Step 4: Simplify right side
    206,747.70x = 63,574,328,519.06
  5. Step 5: Solve for x
    x = 63,574,328,519.06/206,747.70
  6. Step 6: Final answer
    x = 307,497.15

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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.