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Finding the Fourth Proportional to 321,266.46, 443,350.37 and 178,028.90

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Solution

The fourth proportional to 321,266.46, 443,350.37 and 178,028.90 is: 245,681.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,266.46 : 443,350.37 = 178,028.90 : x
  2. Step 2: Convert to fraction form
    321,266.46/443,350.37 = 178,028.90/x
  3. Step 3: Cross multiply
    321,266.46x = 443,350.37 × 178,028.90
  4. Step 4: Simplify right side
    321,266.46x = 78,929,175,578.80
  5. Step 5: Solve for x
    x = 78,929,175,578.80/321,266.46
  6. Step 6: Final answer
    x = 245,681.34

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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.