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Finding the Fourth Proportional to 288,936.78, 398,697.82 and 166,469.23

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Solution

The fourth proportional to 288,936.78, 398,697.82 and 166,469.23 is: 229,707.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,936.78 : 398,697.82 = 166,469.23 : x
  2. Step 2: Convert to fraction form
    288,936.78/398,697.82 = 166,469.23/x
  3. Step 3: Cross multiply
    288,936.78x = 398,697.82 × 166,469.23
  4. Step 4: Simplify right side
    288,936.78x = 66,370,917,873.99
  5. Step 5: Solve for x
    x = 66,370,917,873.99/288,936.78
  6. Step 6: Final answer
    x = 229,707.40

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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.