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Finding the Fourth Proportional to 280,299.20, 420,198.81 and 102,764.84

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Solution

The fourth proportional to 280,299.20, 420,198.81 and 102,764.84 is: 154,055.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,299.20 : 420,198.81 = 102,764.84 : x
  2. Step 2: Convert to fraction form
    280,299.20/420,198.81 = 102,764.84/x
  3. Step 3: Cross multiply
    280,299.20x = 420,198.81 × 102,764.84
  4. Step 4: Simplify right side
    280,299.20x = 43,181,663,477.84
  5. Step 5: Solve for x
    x = 43,181,663,477.84/280,299.20
  6. Step 6: Final answer
    x = 154,055.61

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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.