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Finding the Fourth Proportional to 667,072.72, 920,553.15 and 361,143.46

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Solution

The fourth proportional to 667,072.72, 920,553.15 and 361,143.46 is: 498,374.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,072.72 : 920,553.15 = 361,143.46 : x
  2. Step 2: Convert to fraction form
    667,072.72/920,553.15 = 361,143.46/x
  3. Step 3: Cross multiply
    667,072.72x = 920,553.15 × 361,143.46
  4. Step 4: Simplify right side
    667,072.72x = 332,451,749,704.90
  5. Step 5: Solve for x
    x = 332,451,749,704.90/667,072.72
  6. Step 6: Final answer
    x = 498,374.07

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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.