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Finding the Fourth Proportional to 206,857.40, 310,439.70 and 82,287.80

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Solution

The fourth proportional to 206,857.40, 310,439.70 and 82,287.80 is: 123,492.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,857.40 : 310,439.70 = 82,287.80 : x
  2. Step 2: Convert to fraction form
    206,857.40/310,439.70 = 82,287.80/x
  3. Step 3: Cross multiply
    206,857.40x = 310,439.70 × 82,287.80
  4. Step 4: Simplify right side
    206,857.40x = 25,545,399,945.66
  5. Step 5: Solve for x
    x = 25,545,399,945.66/206,857.40
  6. Step 6: Final answer
    x = 123,492.80

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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.