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Finding the Fourth Proportional to 667,680.86, 921,718.91 and 381,145.59

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Solution

The fourth proportional to 667,680.86, 921,718.91 and 381,145.59 is: 526,163.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,680.86 : 921,718.91 = 381,145.59 : x
  2. Step 2: Convert to fraction form
    667,680.86/921,718.91 = 381,145.59/x
  3. Step 3: Cross multiply
    667,680.86x = 921,718.91 × 381,145.59
  4. Step 4: Simplify right side
    667,680.86x = 351,309,097,766.11
  5. Step 5: Solve for x
    x = 351,309,097,766.11/667,680.86
  6. Step 6: Final answer
    x = 526,163.20

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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.