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Finding the Fourth Proportional to 300,293.13, 450,126 and 100,449.18

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Solution

The fourth proportional to 300,293.13, 450,126 and 100,449.18 is: 150,568.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,293.13 : 450,126 = 100,449.18 : x
  2. Step 2: Convert to fraction form
    300,293.13/450,126 = 100,449.18/x
  3. Step 3: Cross multiply
    300,293.13x = 450,126 × 100,449.18
  4. Step 4: Simplify right side
    300,293.13x = 45,214,787,596.68
  5. Step 5: Solve for x
    x = 45,214,787,596.68/300,293.13
  6. Step 6: Final answer
    x = 150,568.84

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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.