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Finding the Fourth Proportional to 321,520.64, 443,697.72 and 178,277

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Solution

The fourth proportional to 321,520.64, 443,697.72 and 178,277 is: 246,021.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,520.64 : 443,697.72 = 178,277 : x
  2. Step 2: Convert to fraction form
    321,520.64/443,697.72 = 178,277/x
  3. Step 3: Cross multiply
    321,520.64x = 443,697.72 × 178,277
  4. Step 4: Simplify right side
    321,520.64x = 79,101,098,428.44
  5. Step 5: Solve for x
    x = 79,101,098,428.44/321,520.64
  6. Step 6: Final answer
    x = 246,021.84

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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.