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Finding the Fourth Proportional to 206,830.10, 310,318.05 and 199,540.10

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Solution

The fourth proportional to 206,830.10, 310,318.05 and 199,540.10 is: 299,380.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,830.10 : 310,318.05 = 199,540.10 : x
  2. Step 2: Convert to fraction form
    206,830.10/310,318.05 = 199,540.10/x
  3. Step 3: Cross multiply
    206,830.10x = 310,318.05 × 199,540.10
  4. Step 4: Simplify right side
    206,830.10x = 61,920,894,728.81
  5. Step 5: Solve for x
    x = 61,920,894,728.81/206,830.10
  6. Step 6: Final answer
    x = 299,380.48

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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.