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Finding the Fourth Proportional to 298,134.34, 447,201.51 and 204,355.78

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Solution

The fourth proportional to 298,134.34, 447,201.51 and 204,355.78 is: 306,533.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,134.34 : 447,201.51 = 204,355.78 : x
  2. Step 2: Convert to fraction form
    298,134.34/447,201.51 = 204,355.78/x
  3. Step 3: Cross multiply
    298,134.34x = 447,201.51 × 204,355.78
  4. Step 4: Simplify right side
    298,134.34x = 91,388,213,393.23
  5. Step 5: Solve for x
    x = 91,388,213,393.23/298,134.34
  6. Step 6: Final answer
    x = 306,533.67

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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.