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Finding the Fourth Proportional to 321,660.33, 443,944.49 and 178,466.50

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Solution

The fourth proportional to 321,660.33, 443,944.49 and 178,466.50 is: 246,313.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,660.33 : 443,944.49 = 178,466.50 : x
  2. Step 2: Convert to fraction form
    321,660.33/443,944.49 = 178,466.50/x
  3. Step 3: Cross multiply
    321,660.33x = 443,944.49 × 178,466.50
  4. Step 4: Simplify right side
    321,660.33x = 79,229,219,324.59
  5. Step 5: Solve for x
    x = 79,229,219,324.59/321,660.33
  6. Step 6: Final answer
    x = 246,313.31

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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.