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Finding the Fourth Proportional to 206,585.10, 310,315.05 and 199,149.30

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Solution

The fourth proportional to 206,585.10, 310,315.05 and 199,149.30 is: 299,145.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,585.10 : 310,315.05 = 199,149.30 : x
  2. Step 2: Convert to fraction form
    206,585.10/310,315.05 = 199,149.30/x
  3. Step 3: Cross multiply
    206,585.10x = 310,315.05 × 199,149.30
  4. Step 4: Simplify right side
    206,585.10x = 61,799,024,986.97
  5. Step 5: Solve for x
    x = 61,799,024,986.97/206,585.10
  6. Step 6: Final answer
    x = 299,145.61

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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.