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Finding the Fourth Proportional to 490,183.34, 735,299.13 and 135,189.50

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Solution

The fourth proportional to 490,183.34, 735,299.13 and 135,189.50 is: 202,790.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,183.34 : 735,299.13 = 135,189.50 : x
  2. Step 2: Convert to fraction form
    490,183.34/735,299.13 = 135,189.50/x
  3. Step 3: Cross multiply
    490,183.34x = 735,299.13 × 135,189.50
  4. Step 4: Simplify right side
    490,183.34x = 99,404,721,735.14
  5. Step 5: Solve for x
    x = 99,404,721,735.14/490,183.34
  6. Step 6: Final answer
    x = 202,790.90

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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.