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Finding the Fourth Proportional to 206,557.85, 309,836.78 and 206,557.85

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Solution

The fourth proportional to 206,557.85, 309,836.78 and 206,557.85 is: 309,836.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,557.85 : 309,836.78 = 206,557.85 : x
  2. Step 2: Convert to fraction form
    206,557.85/309,836.78 = 206,557.85/x
  3. Step 3: Cross multiply
    206,557.85x = 309,836.78 × 206,557.85
  4. Step 4: Simplify right side
    206,557.85x = 63,999,218,094.93
  5. Step 5: Solve for x
    x = 63,999,218,094.93/206,557.85
  6. Step 6: Final answer
    x = 309,836.78

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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.