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Finding the Fourth Proportional to 321,632.64, 443,789.04 and 194,315.28

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Solution

The fourth proportional to 321,632.64, 443,789.04 and 194,315.28 is: 268,116.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,632.64 : 443,789.04 = 194,315.28 : x
  2. Step 2: Convert to fraction form
    321,632.64/443,789.04 = 194,315.28/x
  3. Step 3: Cross multiply
    321,632.64x = 443,789.04 × 194,315.28
  4. Step 4: Simplify right side
    321,632.64x = 86,234,991,568.53
  5. Step 5: Solve for x
    x = 86,234,991,568.53/321,632.64
  6. Step 6: Final answer
    x = 268,116.42

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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.