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Finding the Fourth Proportional to 561,149.35, 842,059.40 and 206,199.25

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Solution

The fourth proportional to 561,149.35, 842,059.40 and 206,199.25 is: 309,422.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,149.35 : 842,059.40 = 206,199.25 : x
  2. Step 2: Convert to fraction form
    561,149.35/842,059.40 = 206,199.25/x
  3. Step 3: Cross multiply
    561,149.35x = 842,059.40 × 206,199.25
  4. Step 4: Simplify right side
    561,149.35x = 173,632,016,735.45
  5. Step 5: Solve for x
    x = 173,632,016,735.45/561,149.35
  6. Step 6: Final answer
    x = 309,422.11

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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.