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Finding the Fourth Proportional to 300,290.14, 450,121.51 and 100,446.18

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Solution

The fourth proportional to 300,290.14, 450,121.51 and 100,446.18 is: 150,564.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,290.14 : 450,121.51 = 100,446.18 : x
  2. Step 2: Convert to fraction form
    300,290.14/450,121.51 = 100,446.18/x
  3. Step 3: Cross multiply
    300,290.14x = 450,121.51 × 100,446.18
  4. Step 4: Simplify right side
    300,290.14x = 45,212,984,087.92
  5. Step 5: Solve for x
    x = 45,212,984,087.92/300,290.14
  6. Step 6: Final answer
    x = 150,564.33

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1.5x scale

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.