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Finding the Fourth Proportional to 300,219.92, 414,123 and 198,246.32

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Solution

The fourth proportional to 300,219.92, 414,123 and 198,246.32 is: 273,460.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,219.92 : 414,123 = 198,246.32 : x
  2. Step 2: Convert to fraction form
    300,219.92/414,123 = 198,246.32/x
  3. Step 3: Cross multiply
    300,219.92x = 414,123 × 198,246.32
  4. Step 4: Simplify right side
    300,219.92x = 82,098,360,777.36
  5. Step 5: Solve for x
    x = 82,098,360,777.36/300,219.92
  6. Step 6: Final answer
    x = 273,460.74

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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.