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Finding the Fourth Proportional to 667,007.02, 920,469.50 and 361,083.18

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Solution

The fourth proportional to 667,007.02, 920,469.50 and 361,083.18 is: 498,294.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,007.02 : 920,469.50 = 361,083.18 : x
  2. Step 2: Convert to fraction form
    667,007.02/920,469.50 = 361,083.18/x
  3. Step 3: Cross multiply
    667,007.02x = 920,469.50 × 361,083.18
  4. Step 4: Simplify right side
    667,007.02x = 332,366,047,745.25
  5. Step 5: Solve for x
    x = 332,366,047,745.25/667,007.02
  6. Step 6: Final answer
    x = 498,294.68

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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.