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Finding the Fourth Proportional to 800,189, 1,200,295.02 and 209,213

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Solution

The fourth proportional to 800,189, 1,200,295.02 and 209,213 is: 313,822.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,189 : 1,200,295.02 = 209,213 : x
  2. Step 2: Convert to fraction form
    800,189/1,200,295.02 = 209,213/x
  3. Step 3: Cross multiply
    800,189x = 1,200,295.02 × 209,213
  4. Step 4: Simplify right side
    800,189x = 251,117,322,019.26
  5. Step 5: Solve for x
    x = 251,117,322,019.26/800,189
  6. Step 6: Final answer
    x = 313,822.51

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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.