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Finding the Fourth Proportional to 278,186.54, 417,175.05 and 100,649.66

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Solution

The fourth proportional to 278,186.54, 417,175.05 and 100,649.66 is: 150,936.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,186.54 : 417,175.05 = 100,649.66 : x
  2. Step 2: Convert to fraction form
    278,186.54/417,175.05 = 100,649.66/x
  3. Step 3: Cross multiply
    278,186.54x = 417,175.05 × 100,649.66
  4. Step 4: Simplify right side
    278,186.54x = 41,988,526,942.98
  5. Step 5: Solve for x
    x = 41,988,526,942.98/278,186.54
  6. Step 6: Final answer
    x = 150,936.59

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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.