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Finding the Fourth Proportional to 321,334.56, 443,429.52 and 178,091.04

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Solution

The fourth proportional to 321,334.56, 443,429.52 and 178,091.04 is: 245,758.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,334.56 : 443,429.52 = 178,091.04 : x
  2. Step 2: Convert to fraction form
    321,334.56/443,429.52 = 178,091.04/x
  3. Step 3: Cross multiply
    321,334.56x = 443,429.52 × 178,091.04
  4. Step 4: Simplify right side
    321,334.56x = 78,970,824,383.50
  5. Step 5: Solve for x
    x = 78,970,824,383.50/321,334.56
  6. Step 6: Final answer
    x = 245,758.89

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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.