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Finding the Fourth Proportional to 355,212.82, 490,193.68 and 204,309.82

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Solution

The fourth proportional to 355,212.82, 490,193.68 and 204,309.82 is: 281,947.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,212.82 : 490,193.68 = 204,309.82 : x
  2. Step 2: Convert to fraction form
    355,212.82/490,193.68 = 204,309.82/x
  3. Step 3: Cross multiply
    355,212.82x = 490,193.68 × 204,309.82
  4. Step 4: Simplify right side
    355,212.82x = 100,151,382,525.94
  5. Step 5: Solve for x
    x = 100,151,382,525.94/355,212.82
  6. Step 6: Final answer
    x = 281,947.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.