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Finding the Fourth Proportional to 321,414.64, 443,522.36 and 178,162.49

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Solution

The fourth proportional to 321,414.64, 443,522.36 and 178,162.49 is: 245,847.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,414.64 : 443,522.36 = 178,162.49 : x
  2. Step 2: Convert to fraction form
    321,414.64/443,522.36 = 178,162.49/x
  3. Step 3: Cross multiply
    321,414.64x = 443,522.36 × 178,162.49
  4. Step 4: Simplify right side
    321,414.64x = 79,019,049,582.49
  5. Step 5: Solve for x
    x = 79,019,049,582.49/321,414.64
  6. Step 6: Final answer
    x = 245,847.70

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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.