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Finding the Fourth Proportional to 288,664.82, 398,357.97 and 161,345.78

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Solution

The fourth proportional to 288,664.82, 398,357.97 and 161,345.78 is: 222,657.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,664.82 : 398,357.97 = 161,345.78 : x
  2. Step 2: Convert to fraction form
    288,664.82/398,357.97 = 161,345.78/x
  3. Step 3: Cross multiply
    288,664.82x = 398,357.97 × 161,345.78
  4. Step 4: Simplify right side
    288,664.82x = 64,273,377,388.87
  5. Step 5: Solve for x
    x = 64,273,377,388.87/288,664.82
  6. Step 6: Final answer
    x = 222,657.47

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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.