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Finding the Fourth Proportional to 206,470.60, 309,936.30 and 192,934.60

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Solution

The fourth proportional to 206,470.60, 309,936.30 and 192,934.60 is: 289,617.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,470.60 : 309,936.30 = 192,934.60 : x
  2. Step 2: Convert to fraction form
    206,470.60/309,936.30 = 192,934.60/x
  3. Step 3: Cross multiply
    206,470.60x = 309,936.30 × 192,934.60
  4. Step 4: Simplify right side
    206,470.60x = 59,797,436,065.98
  5. Step 5: Solve for x
    x = 59,797,436,065.98/206,470.60
  6. Step 6: Final answer
    x = 289,617.20

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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.