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Finding the Fourth Proportional to 321,143.49, 443,178.02 and 177,912.81

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Solution

The fourth proportional to 321,143.49, 443,178.02 and 177,912.81 is: 245,519.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,143.49 : 443,178.02 = 177,912.81 : x
  2. Step 2: Convert to fraction form
    321,143.49/443,178.02 = 177,912.81/x
  3. Step 3: Cross multiply
    321,143.49x = 443,178.02 × 177,912.81
  4. Step 4: Simplify right side
    321,143.49x = 78,847,045,978.87
  5. Step 5: Solve for x
    x = 78,847,045,978.87/321,143.49
  6. Step 6: Final answer
    x = 245,519.68

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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.