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Finding the Fourth Proportional to 321,634.76, 443,856.24 and 178,394.79

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Solution

The fourth proportional to 321,634.76, 443,856.24 and 178,394.79 is: 246,184.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,634.76 : 443,856.24 = 178,394.79 : x
  2. Step 2: Convert to fraction form
    321,634.76/443,856.24 = 178,394.79/x
  3. Step 3: Cross multiply
    321,634.76x = 443,856.24 × 178,394.79
  4. Step 4: Simplify right side
    321,634.76x = 79,181,640,724.99
  5. Step 5: Solve for x
    x = 79,181,640,724.99/321,634.76
  6. Step 6: Final answer
    x = 246,184.96

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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.