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Finding the Fourth Proportional to 321,558.40, 443,751.78 and 178,331.68

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Solution

The fourth proportional to 321,558.40, 443,751.78 and 178,331.68 is: 246,098.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,558.40 : 443,751.78 = 178,331.68 : x
  2. Step 2: Convert to fraction form
    321,558.40/443,751.78 = 178,331.68/x
  3. Step 3: Cross multiply
    321,558.40x = 443,751.78 × 178,331.68
  4. Step 4: Simplify right side
    321,558.40x = 79,135,000,430.39
  5. Step 5: Solve for x
    x = 79,135,000,430.39/321,558.40
  6. Step 6: Final answer
    x = 246,098.38

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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.