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Finding the Fourth Proportional to 641,978.32, 962,523.60 and 281,975.44

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Solution

The fourth proportional to 641,978.32, 962,523.60 and 281,975.44 is: 422,768.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,978.32 : 962,523.60 = 281,975.44 : x
  2. Step 2: Convert to fraction form
    641,978.32/962,523.60 = 281,975.44/x
  3. Step 3: Cross multiply
    641,978.32x = 962,523.60 × 281,975.44
  4. Step 4: Simplify right side
    641,978.32x = 271,408,015,620.38
  5. Step 5: Solve for x
    x = 271,408,015,620.38/641,978.32
  6. Step 6: Final answer
    x = 422,768.20

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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.