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Finding the Fourth Proportional to 561,148.35, 842,057.90 and 206,198.25

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Solution

The fourth proportional to 561,148.35, 842,057.90 and 206,198.25 is: 309,420.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,148.35 : 842,057.90 = 206,198.25 : x
  2. Step 2: Convert to fraction form
    561,148.35/842,057.90 = 206,198.25/x
  3. Step 3: Cross multiply
    561,148.35x = 842,057.90 × 206,198.25
  4. Step 4: Simplify right side
    561,148.35x = 173,630,864,347.68
  5. Step 5: Solve for x
    x = 173,630,864,347.68/561,148.35
  6. Step 6: Final answer
    x = 309,420.61

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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.