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Finding the Fourth Proportional to 321,517.48, 443,719.20 and 178,305.52

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Solution

The fourth proportional to 321,517.48, 443,719.20 and 178,305.52 is: 246,075.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,517.48 : 443,719.20 = 178,305.52 : x
  2. Step 2: Convert to fraction form
    321,517.48/443,719.20 = 178,305.52/x
  3. Step 3: Cross multiply
    321,517.48x = 443,719.20 × 178,305.52
  4. Step 4: Simplify right side
    321,517.48x = 79,117,582,689.98
  5. Step 5: Solve for x
    x = 79,117,582,689.98/321,517.48
  6. Step 6: Final answer
    x = 246,075.53

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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.