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Finding the Fourth Proportional to 643,694.20, 965,771.70 and 269,831.80

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Solution

The fourth proportional to 643,694.20, 965,771.70 and 269,831.80 is: 404,844.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,694.20 : 965,771.70 = 269,831.80 : x
  2. Step 2: Convert to fraction form
    643,694.20/965,771.70 = 269,831.80/x
  3. Step 3: Cross multiply
    643,694.20x = 965,771.70 × 269,831.80
  4. Step 4: Simplify right side
    643,694.20x = 260,595,916,200.06
  5. Step 5: Solve for x
    x = 260,595,916,200.06/643,694.20
  6. Step 6: Final answer
    x = 404,844.28

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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.