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Finding the Fourth Proportional to 321,197.20, 443,255.70 and 177,959.50

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Solution

The fourth proportional to 321,197.20, 443,255.70 and 177,959.50 is: 245,586.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,197.20 : 443,255.70 = 177,959.50 : x
  2. Step 2: Convert to fraction form
    321,197.20/443,255.70 = 177,959.50/x
  3. Step 3: Cross multiply
    321,197.20x = 443,255.70 × 177,959.50
  4. Step 4: Simplify right side
    321,197.20x = 78,881,562,744.15
  5. Step 5: Solve for x
    x = 78,881,562,744.15/321,197.20
  6. Step 6: Final answer
    x = 245,586.08

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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.