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Finding the Fourth Proportional to 321,568.48, 443,765.52 and 178,341.76

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Solution

The fourth proportional to 321,568.48, 443,765.52 and 178,341.76 is: 246,112.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,568.48 : 443,765.52 = 178,341.76 : x
  2. Step 2: Convert to fraction form
    321,568.48/443,765.52 = 178,341.76/x
  3. Step 3: Cross multiply
    321,568.48x = 443,765.52 × 178,341.76
  4. Step 4: Simplify right side
    321,568.48x = 79,141,923,864.12
  5. Step 5: Solve for x
    x = 79,141,923,864.12/321,568.48
  6. Step 6: Final answer
    x = 246,112.19

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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.