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Finding the Fourth Proportional to 206,601.70, 309,902.55 and 206,601.70

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Solution

The fourth proportional to 206,601.70, 309,902.55 and 206,601.70 is: 309,902.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,601.70 : 309,902.55 = 206,601.70 : x
  2. Step 2: Convert to fraction form
    206,601.70/309,902.55 = 206,601.70/x
  3. Step 3: Cross multiply
    206,601.70x = 309,902.55 × 206,601.70
  4. Step 4: Simplify right side
    206,601.70x = 64,026,393,664.34
  5. Step 5: Solve for x
    x = 64,026,393,664.34/206,601.70
  6. Step 6: Final answer
    x = 309,902.55

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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.