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Finding the Fourth Proportional to 321,274, 443,367.84 and 178,020.64

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Solution

The fourth proportional to 321,274, 443,367.84 and 178,020.64 is: 245,673.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,274 : 443,367.84 = 178,020.64 : x
  2. Step 2: Convert to fraction form
    321,274/443,367.84 = 178,020.64/x
  3. Step 3: Cross multiply
    321,274x = 443,367.84 × 178,020.64
  4. Step 4: Simplify right side
    321,274x = 78,928,626,632.22
  5. Step 5: Solve for x
    x = 78,928,626,632.22/321,274
  6. Step 6: Final answer
    x = 245,673.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.