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Finding the Fourth Proportional to 412,960.25, 619,022.09 and 279,853.95

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Solution

The fourth proportional to 412,960.25, 619,022.09 and 279,853.95 is: 419,497.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,960.25 : 619,022.09 = 279,853.95 : x
  2. Step 2: Convert to fraction form
    412,960.25/619,022.09 = 279,853.95/x
  3. Step 3: Cross multiply
    412,960.25x = 619,022.09 × 279,853.95
  4. Step 4: Simplify right side
    412,960.25x = 173,235,775,624.49
  5. Step 5: Solve for x
    x = 173,235,775,624.49/412,960.25
  6. Step 6: Final answer
    x = 419,497.46

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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.