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Finding the Fourth Proportional to 414,448, 621,672 and 133,965.25

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Solution

The fourth proportional to 414,448, 621,672 and 133,965.25 is: 200,947.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,448 : 621,672 = 133,965.25 : x
  2. Step 2: Convert to fraction form
    414,448/621,672 = 133,965.25/x
  3. Step 3: Cross multiply
    414,448x = 621,672 × 133,965.25
  4. Step 4: Simplify right side
    414,448x = 83,282,444,898
  5. Step 5: Solve for x
    x = 83,282,444,898/414,448
  6. Step 6: Final answer
    x = 200,947.88

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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.