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Finding the Fourth Proportional to 321,302.20, 443,400.60 and 178,065.04

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Solution

The fourth proportional to 321,302.20, 443,400.60 and 178,065.04 is: 245,731.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,302.20 : 443,400.60 = 178,065.04 : x
  2. Step 2: Convert to fraction form
    321,302.20/443,400.60 = 178,065.04/x
  3. Step 3: Cross multiply
    321,302.20x = 443,400.60 × 178,065.04
  4. Step 4: Simplify right side
    321,302.20x = 78,954,145,575.02
  5. Step 5: Solve for x
    x = 78,954,145,575.02/321,302.20
  6. Step 6: Final answer
    x = 245,731.73

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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.