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Finding the Fourth Proportional to 361,978.64, 543,076.92 and 326,272.42

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Solution

The fourth proportional to 361,978.64, 543,076.92 and 326,272.42 is: 489,506.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,978.64 : 543,076.92 = 326,272.42 : x
  2. Step 2: Convert to fraction form
    361,978.64/543,076.92 = 326,272.42/x
  3. Step 3: Cross multiply
    361,978.64x = 543,076.92 × 326,272.42
  4. Step 4: Simplify right side
    361,978.64x = 177,191,021,613.39
  5. Step 5: Solve for x
    x = 177,191,021,613.39/361,978.64
  6. Step 6: Final answer
    x = 489,506.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.