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Finding the Fourth Proportional to 206,660.10, 309,990.15 and 185,664.90

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Solution

The fourth proportional to 206,660.10, 309,990.15 and 185,664.90 is: 278,497.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,660.10 : 309,990.15 = 185,664.90 : x
  2. Step 2: Convert to fraction form
    206,660.10/309,990.15 = 185,664.90/x
  3. Step 3: Cross multiply
    206,660.10x = 309,990.15 × 185,664.90
  4. Step 4: Simplify right side
    206,660.10x = 57,554,290,200.74
  5. Step 5: Solve for x
    x = 57,554,290,200.74/206,660.10
  6. Step 6: Final answer
    x = 278,497.35

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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.