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Finding the Fourth Proportional to 206,598.90, 309,315.15 and 200,766.90

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Solution

The fourth proportional to 206,598.90, 309,315.15 and 200,766.90 is: 300,583.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,598.90 : 309,315.15 = 200,766.90 : x
  2. Step 2: Convert to fraction form
    206,598.90/309,315.15 = 200,766.90/x
  3. Step 3: Cross multiply
    206,598.90x = 309,315.15 × 200,766.90
  4. Step 4: Simplify right side
    206,598.90x = 62,100,243,788.54
  5. Step 5: Solve for x
    x = 62,100,243,788.54/206,598.90
  6. Step 6: Final answer
    x = 300,583.61

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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.