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Finding the Fourth Proportional to 561,147.85, 842,057.15 and 206,197.75

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Solution

The fourth proportional to 561,147.85, 842,057.15 and 206,197.75 is: 309,419.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,147.85 : 842,057.15 = 206,197.75 : x
  2. Step 2: Convert to fraction form
    561,147.85/842,057.15 = 206,197.75/x
  3. Step 3: Cross multiply
    561,147.85x = 842,057.15 × 206,197.75
  4. Step 4: Simplify right side
    561,147.85x = 173,630,289,701.41
  5. Step 5: Solve for x
    x = 173,630,289,701.41/561,147.85
  6. Step 6: Final answer
    x = 309,419.86

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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.