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Finding the Fourth Proportional to 422,749.62, 633,411.21 and 209,232.81

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Solution

The fourth proportional to 422,749.62, 633,411.21 and 209,232.81 is: 313,496.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,749.62 : 633,411.21 = 209,232.81 : x
  2. Step 2: Convert to fraction form
    422,749.62/633,411.21 = 209,232.81/x
  3. Step 3: Cross multiply
    422,749.62x = 633,411.21 × 209,232.81
  4. Step 4: Simplify right side
    422,749.62x = 132,530,407,353.80
  5. Step 5: Solve for x
    x = 132,530,407,353.80/422,749.62
  6. Step 6: Final answer
    x = 313,496.22

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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.