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Finding the Fourth Proportional to 288,940.94, 398,716.86 and 161,591.94

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Solution

The fourth proportional to 288,940.94, 398,716.86 and 161,591.94 is: 222,984.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,940.94 : 398,716.86 = 161,591.94 : x
  2. Step 2: Convert to fraction form
    288,940.94/398,716.86 = 161,591.94/x
  3. Step 3: Cross multiply
    288,940.94x = 398,716.86 × 161,591.94
  4. Step 4: Simplify right side
    288,940.94x = 64,429,430,918.11
  5. Step 5: Solve for x
    x = 64,429,430,918.11/288,940.94
  6. Step 6: Final answer
    x = 222,984.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.