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Finding the Fourth Proportional to 561,149.85, 842,060.13 and 206,199.75

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Solution

The fourth proportional to 561,149.85, 842,060.13 and 206,199.75 is: 309,422.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,149.85 : 842,060.13 = 206,199.75 : x
  2. Step 2: Convert to fraction form
    561,149.85/842,060.13 = 206,199.75/x
  3. Step 3: Cross multiply
    561,149.85x = 842,060.13 × 206,199.75
  4. Step 4: Simplify right side
    561,149.85x = 173,632,588,290.97
  5. Step 5: Solve for x
    x = 173,632,588,290.97/561,149.85
  6. Step 6: Final answer
    x = 309,422.85

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1.5x scale

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.