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Finding the Fourth Proportional to 278,083.98, 417,186.72 and 100,572.48

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Solution

The fourth proportional to 278,083.98, 417,186.72 and 100,572.48 is: 150,880.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,083.98 : 417,186.72 = 100,572.48 : x
  2. Step 2: Convert to fraction form
    278,083.98/417,186.72 = 100,572.48/x
  3. Step 3: Cross multiply
    278,083.98x = 417,186.72 × 100,572.48
  4. Step 4: Simplify right side
    278,083.98x = 41,957,503,053.47
  5. Step 5: Solve for x
    x = 41,957,503,053.47/278,083.98
  6. Step 6: Final answer
    x = 150,880.69

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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.