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Finding the Fourth Proportional to 215,874.40, 323,811.60 and 199,285.60

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Solution

The fourth proportional to 215,874.40, 323,811.60 and 199,285.60 is: 298,928.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,874.40 : 323,811.60 = 199,285.60 : x
  2. Step 2: Convert to fraction form
    215,874.40/323,811.60 = 199,285.60/x
  3. Step 3: Cross multiply
    215,874.40x = 323,811.60 × 199,285.60
  4. Step 4: Simplify right side
    215,874.40x = 64,530,988,992.96
  5. Step 5: Solve for x
    x = 64,530,988,992.96/215,874.40
  6. Step 6: Final answer
    x = 298,928.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.