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Finding the Fourth Proportional to 321,391.30, 443,551.80 and 178,179.04

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Solution

The fourth proportional to 321,391.30, 443,551.80 and 178,179.04 is: 245,904.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,391.30 : 443,551.80 = 178,179.04 : x
  2. Step 2: Convert to fraction form
    321,391.30/443,551.80 = 178,179.04/x
  3. Step 3: Cross multiply
    321,391.30x = 443,551.80 × 178,179.04
  4. Step 4: Simplify right side
    321,391.30x = 79,031,633,914.27
  5. Step 5: Solve for x
    x = 79,031,633,914.27/321,391.30
  6. Step 6: Final answer
    x = 245,904.71

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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.