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Finding the Fourth Proportional to 288,682.92, 398,395.26 and 161,358.48

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Solution

The fourth proportional to 288,682.92, 398,395.26 and 161,358.48 is: 222,681.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,682.92 : 398,395.26 = 161,358.48 : x
  2. Step 2: Convert to fraction form
    288,682.92/398,395.26 = 161,358.48/x
  3. Step 3: Cross multiply
    288,682.92x = 398,395.26 × 161,358.48
  4. Step 4: Simplify right side
    288,682.92x = 64,284,453,592.80
  5. Step 5: Solve for x
    x = 64,284,453,592.80/288,682.92
  6. Step 6: Final answer
    x = 222,681.87

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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.