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Finding the Fourth Proportional to 321,589.35, 443,429.87 and 205,147.49

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Solution

The fourth proportional to 321,589.35, 443,429.87 and 205,147.49 is: 282,871.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,589.35 : 443,429.87 = 205,147.49 : x
  2. Step 2: Convert to fraction form
    321,589.35/443,429.87 = 205,147.49/x
  3. Step 3: Cross multiply
    321,589.35x = 443,429.87 × 205,147.49
  4. Step 4: Simplify right side
    321,589.35x = 90,968,521,578.64
  5. Step 5: Solve for x
    x = 90,968,521,578.64/321,589.35
  6. Step 6: Final answer
    x = 282,871.69

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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.