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Finding the Fourth Proportional to 664,134.72, 996,198.66 and 259,368

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Solution

The fourth proportional to 664,134.72, 996,198.66 and 259,368 is: 389,050.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,134.72 : 996,198.66 = 259,368 : x
  2. Step 2: Convert to fraction form
    664,134.72/996,198.66 = 259,368/x
  3. Step 3: Cross multiply
    664,134.72x = 996,198.66 × 259,368
  4. Step 4: Simplify right side
    664,134.72x = 258,382,054,046.88
  5. Step 5: Solve for x
    x = 258,382,054,046.88/664,134.72
  6. Step 6: Final answer
    x = 389,050.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.