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Finding the Fourth Proportional to 667,064.64, 920,550.72 and 361,144.24

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Solution

The fourth proportional to 667,064.64, 920,550.72 and 361,144.24 is: 498,379.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,064.64 : 920,550.72 = 361,144.24 : x
  2. Step 2: Convert to fraction form
    667,064.64/920,550.72 = 361,144.24/x
  3. Step 3: Cross multiply
    667,064.64x = 920,550.72 × 361,144.24
  4. Step 4: Simplify right side
    667,064.64x = 332,451,590,155.85
  5. Step 5: Solve for x
    x = 332,451,590,155.85/667,064.64
  6. Step 6: Final answer
    x = 498,379.87

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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.