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Finding the Fourth Proportional to 206,847.40, 310,424.70 and 82,277.80

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Solution

The fourth proportional to 206,847.40, 310,424.70 and 82,277.80 is: 123,477.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,847.40 : 310,424.70 = 82,277.80 : x
  2. Step 2: Convert to fraction form
    206,847.40/310,424.70 = 82,277.80/x
  3. Step 3: Cross multiply
    206,847.40x = 310,424.70 × 82,277.80
  4. Step 4: Simplify right side
    206,847.40x = 25,541,061,381.66
  5. Step 5: Solve for x
    x = 25,541,061,381.66/206,847.40
  6. Step 6: Final answer
    x = 123,477.80

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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.