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Finding the Fourth Proportional to 321,406.62, 443,532.15 and 194,035.74

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Solution

The fourth proportional to 321,406.62, 443,532.15 and 194,035.74 is: 267,763.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,406.62 : 443,532.15 = 194,035.74 : x
  2. Step 2: Convert to fraction form
    321,406.62/443,532.15 = 194,035.74/x
  3. Step 3: Cross multiply
    321,406.62x = 443,532.15 × 194,035.74
  4. Step 4: Simplify right side
    321,406.62x = 86,061,088,939.04
  5. Step 5: Solve for x
    x = 86,061,088,939.04/321,406.62
  6. Step 6: Final answer
    x = 267,763.90

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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.