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Finding the Fourth Proportional to 384,227.60, 576,989.40 and 320,982.80

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Solution

The fourth proportional to 384,227.60, 576,989.40 and 320,982.80 is: 482,015.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,227.60 : 576,989.40 = 320,982.80 : x
  2. Step 2: Convert to fraction form
    384,227.60/576,989.40 = 320,982.80/x
  3. Step 3: Cross multiply
    384,227.60x = 576,989.40 × 320,982.80
  4. Step 4: Simplify right side
    384,227.60x = 185,203,673,182.32
  5. Step 5: Solve for x
    x = 185,203,673,182.32/384,227.60
  6. Step 6: Final answer
    x = 482,015.54

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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.