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Finding the Fourth Proportional to 278,171.98, 383,879.75 and 150,847.58

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Solution

The fourth proportional to 278,171.98, 383,879.75 and 150,847.58 is: 208,170.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,171.98 : 383,879.75 = 150,847.58 : x
  2. Step 2: Convert to fraction form
    278,171.98/383,879.75 = 150,847.58/x
  3. Step 3: Cross multiply
    278,171.98x = 383,879.75 × 150,847.58
  4. Step 4: Simplify right side
    278,171.98x = 57,907,331,503.97
  5. Step 5: Solve for x
    x = 57,907,331,503.97/278,171.98
  6. Step 6: Final answer
    x = 208,170.97

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