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Finding the Fourth Proportional to 640,163.25, 959,924.93 and 213,550.56

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Solution

The fourth proportional to 640,163.25, 959,924.93 and 213,550.56 is: 320,219.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,163.25 : 959,924.93 = 213,550.56 : x
  2. Step 2: Convert to fraction form
    640,163.25/959,924.93 = 213,550.56/x
  3. Step 3: Cross multiply
    640,163.25x = 959,924.93 × 213,550.56
  4. Step 4: Simplify right side
    640,163.25x = 204,992,505,291.71
  5. Step 5: Solve for x
    x = 204,992,505,291.71/640,163.25
  6. Step 6: Final answer
    x = 320,219.11

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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.