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Finding the Fourth Proportional to 321,297.30, 443,391.30 and 178,059.87

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Solution

The fourth proportional to 321,297.30, 443,391.30 and 178,059.87 is: 245,723.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,297.30 : 443,391.30 = 178,059.87 : x
  2. Step 2: Convert to fraction form
    321,297.30/443,391.30 = 178,059.87/x
  3. Step 3: Cross multiply
    321,297.30x = 443,391.30 × 178,059.87
  4. Step 4: Simplify right side
    321,297.30x = 78,950,197,237.13
  5. Step 5: Solve for x
    x = 78,950,197,237.13/321,297.30
  6. Step 6: Final answer
    x = 245,723.19

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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.