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Finding the Fourth Proportional to 288,663.82, 398,356.59 and 161,344.78

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Solution

The fourth proportional to 288,663.82, 398,356.59 and 161,344.78 is: 222,656.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,663.82 : 398,356.59 = 161,344.78 : x
  2. Step 2: Convert to fraction form
    288,663.82/398,356.59 = 161,344.78/x
  3. Step 3: Cross multiply
    288,663.82x = 398,356.59 × 161,344.78
  4. Step 4: Simplify right side
    288,663.82x = 64,272,756,375.10
  5. Step 5: Solve for x
    x = 64,272,756,375.10/288,663.82
  6. Step 6: Final answer
    x = 222,656.09

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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.