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Finding the Fourth Proportional to 278,034.46, 417,084.09 and 100,625.02

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Solution

The fourth proportional to 278,034.46, 417,084.09 and 100,625.02 is: 150,949.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,034.46 : 417,084.09 = 100,625.02 : x
  2. Step 2: Convert to fraction form
    278,034.46/417,084.09 = 100,625.02/x
  3. Step 3: Cross multiply
    278,034.46x = 417,084.09 × 100,625.02
  4. Step 4: Simplify right side
    278,034.46x = 41,969,093,477.88
  5. Step 5: Solve for x
    x = 41,969,093,477.88/278,034.46
  6. Step 6: Final answer
    x = 150,949.25

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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.