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Finding the Fourth Proportional to 321,277.26, 443,380.30 and 178,034.16

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Solution

The fourth proportional to 321,277.26, 443,380.30 and 178,034.16 is: 245,696.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,277.26 : 443,380.30 = 178,034.16 : x
  2. Step 2: Convert to fraction form
    321,277.26/443,380.30 = 178,034.16/x
  3. Step 3: Cross multiply
    321,277.26x = 443,380.30 × 178,034.16
  4. Step 4: Simplify right side
    321,277.26x = 78,936,839,271.05
  5. Step 5: Solve for x
    x = 78,936,839,271.05/321,277.26
  6. Step 6: Final answer
    x = 245,696.94

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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.