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Finding the Fourth Proportional to 321,390, 443,471.64 and 178,150

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Solution

The fourth proportional to 321,390, 443,471.64 and 178,150 is: 245,821.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,390 : 443,471.64 = 178,150 : x
  2. Step 2: Convert to fraction form
    321,390/443,471.64 = 178,150/x
  3. Step 3: Cross multiply
    321,390x = 443,471.64 × 178,150
  4. Step 4: Simplify right side
    321,390x = 79,004,472,666
  5. Step 5: Solve for x
    x = 79,004,472,666/321,390
  6. Step 6: Final answer
    x = 245,821.19

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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.