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Finding the Fourth Proportional to 321,755.80, 443,958.66 and 194,438.20

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Solution

The fourth proportional to 321,755.80, 443,958.66 and 194,438.20 is: 268,285.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,755.80 : 443,958.66 = 194,438.20 : x
  2. Step 2: Convert to fraction form
    321,755.80/443,958.66 = 194,438.20/x
  3. Step 3: Cross multiply
    321,755.80x = 443,958.66 × 194,438.20
  4. Step 4: Simplify right side
    321,755.80x = 86,322,522,724.81
  5. Step 5: Solve for x
    x = 86,322,522,724.81/321,755.80
  6. Step 6: Final answer
    x = 268,285.83

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1.5x scale

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.