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Finding the Fourth Proportional to 298,132.34, 447,198.51 and 204,353.78

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Solution

The fourth proportional to 298,132.34, 447,198.51 and 204,353.78 is: 306,530.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,132.34 : 447,198.51 = 204,353.78 : x
  2. Step 2: Convert to fraction form
    298,132.34/447,198.51 = 204,353.78/x
  3. Step 3: Cross multiply
    298,132.34x = 447,198.51 × 204,353.78
  4. Step 4: Simplify right side
    298,132.34x = 91,386,705,928.87
  5. Step 5: Solve for x
    x = 91,386,705,928.87/298,132.34
  6. Step 6: Final answer
    x = 306,530.67

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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.