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Finding the Fourth Proportional to 327,414.40, 451,214.40 and 286,864

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Solution

The fourth proportional to 327,414.40, 451,214.40 and 286,864 is: 395,331.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,414.40 : 451,214.40 = 286,864 : x
  2. Step 2: Convert to fraction form
    327,414.40/451,214.40 = 286,864/x
  3. Step 3: Cross multiply
    327,414.40x = 451,214.40 × 286,864
  4. Step 4: Simplify right side
    327,414.40x = 129,437,167,641.60
  5. Step 5: Solve for x
    x = 129,437,167,641.60/327,414.40
  6. Step 6: Final answer
    x = 395,331.32

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1.5x scale

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.