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Finding the Fourth Proportional to 423,580.36, 635,183.96 and 199,004.64

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Solution

The fourth proportional to 423,580.36, 635,183.96 and 199,004.64 is: 298,419.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,580.36 : 635,183.96 = 199,004.64 : x
  2. Step 2: Convert to fraction form
    423,580.36/635,183.96 = 199,004.64/x
  3. Step 3: Cross multiply
    423,580.36x = 635,183.96 × 199,004.64
  4. Step 4: Simplify right side
    423,580.36x = 126,404,555,293.57
  5. Step 5: Solve for x
    x = 126,404,555,293.57/423,580.36
  6. Step 6: Final answer
    x = 298,419.30

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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.