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Finding the Fourth Proportional to 278,185.54, 417,173.55 and 100,648.66

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Solution

The fourth proportional to 278,185.54, 417,173.55 and 100,648.66 is: 150,935.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,185.54 : 417,173.55 = 100,648.66 : x
  2. Step 2: Convert to fraction form
    278,185.54/417,173.55 = 100,648.66/x
  3. Step 3: Cross multiply
    278,185.54x = 417,173.55 × 100,648.66
  4. Step 4: Simplify right side
    278,185.54x = 41,987,958,794.94
  5. Step 5: Solve for x
    x = 41,987,958,794.94/278,185.54
  6. Step 6: Final answer
    x = 150,935.09

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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.