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Finding the Fourth Proportional to 483,947.60, 726,180.60 and 203,493.20

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Solution

The fourth proportional to 483,947.60, 726,180.60 and 203,493.20 is: 305,348.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,947.60 : 726,180.60 = 203,493.20 : x
  2. Step 2: Convert to fraction form
    483,947.60/726,180.60 = 203,493.20/x
  3. Step 3: Cross multiply
    483,947.60x = 726,180.60 × 203,493.20
  4. Step 4: Simplify right side
    483,947.60x = 147,772,814,071.92
  5. Step 5: Solve for x
    x = 147,772,814,071.92/483,947.60
  6. Step 6: Final answer
    x = 305,348.79

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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.