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Finding the Fourth Proportional to 280,166.10, 419,863.68 and 120,050.37

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Solution

The fourth proportional to 280,166.10, 419,863.68 and 120,050.37 is: 179,910.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,166.10 : 419,863.68 = 120,050.37 : x
  2. Step 2: Convert to fraction form
    280,166.10/419,863.68 = 120,050.37/x
  3. Step 3: Cross multiply
    280,166.10x = 419,863.68 × 120,050.37
  4. Step 4: Simplify right side
    280,166.10x = 50,404,790,133.56
  5. Step 5: Solve for x
    x = 50,404,790,133.56/280,166.10
  6. Step 6: Final answer
    x = 179,910.38

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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.