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Finding the Fourth Proportional to 206,469.60, 309,934.80 and 192,933.60

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Solution

The fourth proportional to 206,469.60, 309,934.80 and 192,933.60 is: 289,615.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,469.60 : 309,934.80 = 192,933.60 : x
  2. Step 2: Convert to fraction form
    206,469.60/309,934.80 = 192,933.60/x
  3. Step 3: Cross multiply
    206,469.60x = 309,934.80 × 192,933.60
  4. Step 4: Simplify right side
    206,469.60x = 59,796,836,729.28
  5. Step 5: Solve for x
    x = 59,796,836,729.28/206,469.60
  6. Step 6: Final answer
    x = 289,615.70

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1.5x scale

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.