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Finding the Fourth Proportional to 206,976.84, 310,219.20 and 185,817.60

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Solution

The fourth proportional to 206,976.84, 310,219.20 and 185,817.60 is: 278,505.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,976.84 : 310,219.20 = 185,817.60 : x
  2. Step 2: Convert to fraction form
    206,976.84/310,219.20 = 185,817.60/x
  3. Step 3: Cross multiply
    206,976.84x = 310,219.20 × 185,817.60
  4. Step 4: Simplify right side
    206,976.84x = 57,644,187,217.92
  5. Step 5: Solve for x
    x = 57,644,187,217.92/206,976.84
  6. Step 6: Final answer
    x = 278,505.49

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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.