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Finding the Fourth Proportional to 329,183.99, 454,469.67 and 208,428.78

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Solution

The fourth proportional to 329,183.99, 454,469.67 and 208,428.78 is: 287,755.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,183.99 : 454,469.67 = 208,428.78 : x
  2. Step 2: Convert to fraction form
    329,183.99/454,469.67 = 208,428.78/x
  3. Step 3: Cross multiply
    329,183.99x = 454,469.67 × 208,428.78
  4. Step 4: Simplify right side
    329,183.99x = 94,724,558,865.10
  5. Step 5: Solve for x
    x = 94,724,558,865.10/329,183.99
  6. Step 6: Final answer
    x = 287,755.67

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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.