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Finding the Fourth Proportional to 321,410.70, 443,516.94 and 178,158.56

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Solution

The fourth proportional to 321,410.70, 443,516.94 and 178,158.56 is: 245,842.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,410.70 : 443,516.94 = 178,158.56 : x
  2. Step 2: Convert to fraction form
    321,410.70/443,516.94 = 178,158.56/x
  3. Step 3: Cross multiply
    321,410.70x = 443,516.94 × 178,158.56
  4. Step 4: Simplify right side
    321,410.70x = 79,016,337,148.42
  5. Step 5: Solve for x
    x = 79,016,337,148.42/321,410.70
  6. Step 6: Final answer
    x = 245,842.27

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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.