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Finding the Fourth Proportional to 800,188, 1,200,293.52 and 209,212

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Solution

The fourth proportional to 800,188, 1,200,293.52 and 209,212 is: 313,821.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,188 : 1,200,293.52 = 209,212 : x
  2. Step 2: Convert to fraction form
    800,188/1,200,293.52 = 209,212/x
  3. Step 3: Cross multiply
    800,188x = 1,200,293.52 × 209,212
  4. Step 4: Simplify right side
    800,188x = 251,115,807,906.24
  5. Step 5: Solve for x
    x = 251,115,807,906.24/800,188
  6. Step 6: Final answer
    x = 313,821.01

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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.