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Finding the Fourth Proportional to 667,728.90, 921,785.00 and 381,193.56

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Solution

The fourth proportional to 667,728.90, 921,785.00 and 381,193.56 is: 526,229.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,728.90 : 921,785.00 = 381,193.56 : x
  2. Step 2: Convert to fraction form
    667,728.90/921,785.00 = 381,193.56/x
  3. Step 3: Cross multiply
    667,728.90x = 921,785.00 × 381,193.56
  4. Step 4: Simplify right side
    667,728.90x = 351,378,503,798.63
  5. Step 5: Solve for x
    x = 351,378,503,798.63/667,728.90
  6. Step 6: Final answer
    x = 526,229.29

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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.