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Finding the Fourth Proportional to 355,212.32, 490,193 and 204,309.32

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Solution

The fourth proportional to 355,212.32, 490,193 and 204,309.32 is: 281,946.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,212.32 : 490,193 = 204,309.32 : x
  2. Step 2: Convert to fraction form
    355,212.32/490,193 = 204,309.32/x
  3. Step 3: Cross multiply
    355,212.32x = 490,193 × 204,309.32
  4. Step 4: Simplify right side
    355,212.32x = 100,150,998,498.76
  5. Step 5: Solve for x
    x = 100,150,998,498.76/355,212.32
  6. Step 6: Final answer
    x = 281,946.86

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1.5x scale

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.