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Finding the Fourth Proportional to 809,647, 1,214,890.81 and 330,226.53

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Solution

The fourth proportional to 809,647, 1,214,890.81 and 330,226.53 is: 495,511.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,647 : 1,214,890.81 = 330,226.53 : x
  2. Step 2: Convert to fraction form
    809,647/1,214,890.81 = 330,226.53/x
  3. Step 3: Cross multiply
    809,647x = 1,214,890.81 × 330,226.53
  4. Step 4: Simplify right side
    809,647x = 401,189,176,515.19
  5. Step 5: Solve for x
    x = 401,189,176,515.19/809,647
  6. Step 6: Final answer
    x = 495,511.22

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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.