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Finding the Fourth Proportional to 320,138.25, 480,167.55 and 200,205.87

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Solution

The fourth proportional to 320,138.25, 480,167.55 and 200,205.87 is: 300,283.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,138.25 : 480,167.55 = 200,205.87 : x
  2. Step 2: Convert to fraction form
    320,138.25/480,167.55 = 200,205.87/x
  3. Step 3: Cross multiply
    320,138.25x = 480,167.55 × 200,205.87
  4. Step 4: Simplify right side
    320,138.25x = 96,132,362,093.52
  5. Step 5: Solve for x
    x = 96,132,362,093.52/320,138.25
  6. Step 6: Final answer
    x = 300,283.90

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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.