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Finding the Fourth Proportional to 667,758.90, 921,826.47 and 381,223.64

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Solution

The fourth proportional to 667,758.90, 921,826.47 and 381,223.64 is: 526,270.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,758.90 : 921,826.47 = 381,223.64 : x
  2. Step 2: Convert to fraction form
    667,758.90/921,826.47 = 381,223.64/x
  3. Step 3: Cross multiply
    667,758.90x = 921,826.47 × 381,223.64
  4. Step 4: Simplify right side
    667,758.90x = 351,422,037,732.62
  5. Step 5: Solve for x
    x = 351,422,037,732.62/667,758.90
  6. Step 6: Final answer
    x = 526,270.84

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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.