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Finding the Fourth Proportional to 321,564.33, 443,748.07 and 178,334.97

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Solution

The fourth proportional to 321,564.33, 443,748.07 and 178,334.97 is: 246,096.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,564.33 : 443,748.07 = 178,334.97 : x
  2. Step 2: Convert to fraction form
    321,564.33/443,748.07 = 178,334.97/x
  3. Step 3: Cross multiply
    321,564.33x = 443,748.07 × 178,334.97
  4. Step 4: Simplify right side
    321,564.33x = 79,135,797,309.87
  5. Step 5: Solve for x
    x = 79,135,797,309.87/321,564.33
  6. Step 6: Final answer
    x = 246,096.32

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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.