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Finding the Fourth Proportional to 667,690.44, 921,478.78 and 381,253.60

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Solution

The fourth proportional to 667,690.44, 921,478.78 and 381,253.60 is: 526,167.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,690.44 : 921,478.78 = 381,253.60 : x
  2. Step 2: Convert to fraction form
    667,690.44/921,478.78 = 381,253.60/x
  3. Step 3: Cross multiply
    667,690.44x = 921,478.78 × 381,253.60
  4. Step 4: Simplify right side
    667,690.44x = 351,317,102,198.61
  5. Step 5: Solve for x
    x = 351,317,102,198.61/667,690.44
  6. Step 6: Final answer
    x = 526,167.64

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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.