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Finding the Fourth Proportional to 499,786.66, 689,794.38 and 295,950.73

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Solution

The fourth proportional to 499,786.66, 689,794.38 and 295,950.73 is: 408,464.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,786.66 : 689,794.38 = 295,950.73 : x
  2. Step 2: Convert to fraction form
    499,786.66/689,794.38 = 295,950.73/x
  3. Step 3: Cross multiply
    499,786.66x = 689,794.38 × 295,950.73
  4. Step 4: Simplify right side
    499,786.66x = 204,145,150,310.90
  5. Step 5: Solve for x
    x = 204,145,150,310.90/499,786.66
  6. Step 6: Final answer
    x = 408,464.58

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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.