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Finding the Fourth Proportional to 809,628.80, 1,214,863.47 and 330,208.31

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Solution

The fourth proportional to 809,628.80, 1,214,863.47 and 330,208.31 is: 495,483.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,628.80 : 1,214,863.47 = 330,208.31 : x
  2. Step 2: Convert to fraction form
    809,628.80/1,214,863.47 = 330,208.31/x
  3. Step 3: Cross multiply
    809,628.80x = 1,214,863.47 × 330,208.31
  4. Step 4: Simplify right side
    809,628.80x = 401,158,007,235.12
  5. Step 5: Solve for x
    x = 401,158,007,235.12/809,628.80
  6. Step 6: Final answer
    x = 495,483.87

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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.