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Finding the Fourth Proportional to 419,399.73, 578,788.02 and 238,128.55

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Solution

The fourth proportional to 419,399.73, 578,788.02 and 238,128.55 is: 328,626.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,399.73 : 578,788.02 = 238,128.55 : x
  2. Step 2: Convert to fraction form
    419,399.73/578,788.02 = 238,128.55/x
  3. Step 3: Cross multiply
    419,399.73x = 578,788.02 × 238,128.55
  4. Step 4: Simplify right side
    419,399.73x = 137,825,951,959.97
  5. Step 5: Solve for x
    x = 137,825,951,959.97/419,399.73
  6. Step 6: Final answer
    x = 328,626.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.