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Finding the Fourth Proportional to 206,568.40, 309,852.60 and 199,351.30

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Solution

The fourth proportional to 206,568.40, 309,852.60 and 199,351.30 is: 299,026.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,568.40 : 309,852.60 = 199,351.30 : x
  2. Step 2: Convert to fraction form
    206,568.40/309,852.60 = 199,351.30/x
  3. Step 3: Cross multiply
    206,568.40x = 309,852.60 × 199,351.30
  4. Step 4: Simplify right side
    206,568.40x = 61,769,518,618.38
  5. Step 5: Solve for x
    x = 61,769,518,618.38/206,568.40
  6. Step 6: Final answer
    x = 299,026.95

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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.