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Finding the Fourth Proportional to 667,757.40, 921,824.40 and 381,222.14

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Solution

The fourth proportional to 667,757.40, 921,824.40 and 381,222.14 is: 526,268.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,757.40 : 921,824.40 = 381,222.14 : x
  2. Step 2: Convert to fraction form
    667,757.40/921,824.40 = 381,222.14/x
  3. Step 3: Cross multiply
    667,757.40x = 921,824.40 × 381,222.14
  4. Step 4: Simplify right side
    667,757.40x = 351,419,865,863.09
  5. Step 5: Solve for x
    x = 351,419,865,863.09/667,757.40
  6. Step 6: Final answer
    x = 526,268.77

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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.