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Finding the Fourth Proportional to 809,448, 1,214,230.86 and 310,812

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Solution

The fourth proportional to 809,448, 1,214,230.86 and 310,812 is: 466,240.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,448 : 1,214,230.86 = 310,812 : x
  2. Step 2: Convert to fraction form
    809,448/1,214,230.86 = 310,812/x
  3. Step 3: Cross multiply
    809,448x = 1,214,230.86 × 310,812
  4. Step 4: Simplify right side
    809,448x = 377,397,522,058.32
  5. Step 5: Solve for x
    x = 377,397,522,058.32/809,448
  6. Step 6: Final answer
    x = 466,240.60

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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.