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Finding the Fourth Proportional to 278,048.44, 417,072.66 and 100,513.90

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Solution

The fourth proportional to 278,048.44, 417,072.66 and 100,513.90 is: 150,770.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,048.44 : 417,072.66 = 100,513.90 : x
  2. Step 2: Convert to fraction form
    278,048.44/417,072.66 = 100,513.90/x
  3. Step 3: Cross multiply
    278,048.44x = 417,072.66 × 100,513.90
  4. Step 4: Simplify right side
    278,048.44x = 41,921,599,639.97
  5. Step 5: Solve for x
    x = 41,921,599,639.97/278,048.44
  6. Step 6: Final answer
    x = 150,770.85

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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.