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Finding the Fourth Proportional to 288,743.52, 398,478.42 and 161,419.08

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Solution

The fourth proportional to 288,743.52, 398,478.42 and 161,419.08 is: 222,765.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,743.52 : 398,478.42 = 161,419.08 : x
  2. Step 2: Convert to fraction form
    288,743.52/398,478.42 = 161,419.08/x
  3. Step 3: Cross multiply
    288,743.52x = 398,478.42 × 161,419.08
  4. Step 4: Simplify right side
    288,743.52x = 64,322,019,956.25
  5. Step 5: Solve for x
    x = 64,322,019,956.25/288,743.52
  6. Step 6: Final answer
    x = 222,765.24

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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.