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Finding the Fourth Proportional to 414,448.44, 621,672.66 and 133,965.69

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Solution

The fourth proportional to 414,448.44, 621,672.66 and 133,965.69 is: 200,948.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,448.44 : 621,672.66 = 133,965.69 : x
  2. Step 2: Convert to fraction form
    414,448.44/621,672.66 = 133,965.69/x
  3. Step 3: Cross multiply
    414,448.44x = 621,672.66 × 133,965.69
  4. Step 4: Simplify right side
    414,448.44x = 83,282,806,851.04
  5. Step 5: Solve for x
    x = 83,282,806,851.04/414,448.44
  6. Step 6: Final answer
    x = 200,948.54

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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.