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Finding the Fourth Proportional to 300,808, 450,911.76 and 150,589.72

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Solution

The fourth proportional to 300,808, 450,911.76 and 150,589.72 is: 225,734.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,808 : 450,911.76 = 150,589.72 : x
  2. Step 2: Convert to fraction form
    300,808/450,911.76 = 150,589.72/x
  3. Step 3: Cross multiply
    300,808x = 450,911.76 × 150,589.72
  4. Step 4: Simplify right side
    300,808x = 67,902,675,683.11
  5. Step 5: Solve for x
    x = 67,902,675,683.11/300,808
  6. Step 6: Final answer
    x = 225,734.27

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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.