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Finding the Fourth Proportional to 298,198.08, 447,143.89 and 87,808.68

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Solution

The fourth proportional to 298,198.08, 447,143.89 and 87,808.68 is: 131,667.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,198.08 : 447,143.89 = 87,808.68 : x
  2. Step 2: Convert to fraction form
    298,198.08/447,143.89 = 87,808.68/x
  3. Step 3: Cross multiply
    298,198.08x = 447,143.89 × 87,808.68
  4. Step 4: Simplify right side
    298,198.08x = 39,263,114,750.97
  5. Step 5: Solve for x
    x = 39,263,114,750.97/298,198.08
  6. Step 6: Final answer
    x = 131,667.90

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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.