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Finding the Fourth Proportional to 321,181.89, 443,438.99 and 206,512.03

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Solution

The fourth proportional to 321,181.89, 443,438.99 and 206,512.03 is: 285,120.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,181.89 : 443,438.99 = 206,512.03 : x
  2. Step 2: Convert to fraction form
    321,181.89/443,438.99 = 206,512.03/x
  3. Step 3: Cross multiply
    321,181.89x = 443,438.99 × 206,512.03
  4. Step 4: Simplify right side
    321,181.89x = 91,575,486,006.05
  5. Step 5: Solve for x
    x = 91,575,486,006.05/321,181.89
  6. Step 6: Final answer
    x = 285,120.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.