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Finding the Fourth Proportional to 235,268, 324,669.84 and 129,284

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Solution

The fourth proportional to 235,268, 324,669.84 and 129,284 is: 178,411.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,268 : 324,669.84 = 129,284 : x
  2. Step 2: Convert to fraction form
    235,268/324,669.84 = 129,284/x
  3. Step 3: Cross multiply
    235,268x = 324,669.84 × 129,284
  4. Step 4: Simplify right side
    235,268x = 41,974,615,594.56
  5. Step 5: Solve for x
    x = 41,974,615,594.56/235,268
  6. Step 6: Final answer
    x = 178,411.92

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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.