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Finding the Fourth Proportional to 419,531.69, 628,955.92 and 195,033.71

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Solution

The fourth proportional to 419,531.69, 628,955.92 and 195,033.71 is: 292,391.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,531.69 : 628,955.92 = 195,033.71 : x
  2. Step 2: Convert to fraction form
    419,531.69/628,955.92 = 195,033.71/x
  3. Step 3: Cross multiply
    419,531.69x = 628,955.92 × 195,033.71
  4. Step 4: Simplify right side
    419,531.69x = 122,667,608,320.25
  5. Step 5: Solve for x
    x = 122,667,608,320.25/419,531.69
  6. Step 6: Final answer
    x = 292,391.76

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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.