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Finding the Fourth Proportional to 321,561.90, 443,756.61 and 178,335.18

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Solution

The fourth proportional to 321,561.90, 443,756.61 and 178,335.18 is: 246,103.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,561.90 : 443,756.61 = 178,335.18 : x
  2. Step 2: Convert to fraction form
    321,561.90/443,756.61 = 178,335.18/x
  3. Step 3: Cross multiply
    321,561.90x = 443,756.61 × 178,335.18
  4. Step 4: Simplify right side
    321,561.90x = 79,137,414,920.54
  5. Step 5: Solve for x
    x = 79,137,414,920.54/321,561.90
  6. Step 6: Final answer
    x = 246,103.21

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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.