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Finding the Fourth Proportional to 235,282, 324,689.16 and 129,298

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Solution

The fourth proportional to 235,282, 324,689.16 and 129,298 is: 178,431.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,282 : 324,689.16 = 129,298 : x
  2. Step 2: Convert to fraction form
    235,282/324,689.16 = 129,298/x
  3. Step 3: Cross multiply
    235,282x = 324,689.16 × 129,298
  4. Step 4: Simplify right side
    235,282x = 41,981,659,009.68
  5. Step 5: Solve for x
    x = 41,981,659,009.68/235,282
  6. Step 6: Final answer
    x = 178,431.24

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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.