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Finding the Fourth Proportional to 356,400.92, 491,849.46 and 203,480.48

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Solution

The fourth proportional to 356,400.92, 491,849.46 and 203,480.48 is: 280,812.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,400.92 : 491,849.46 = 203,480.48 : x
  2. Step 2: Convert to fraction form
    356,400.92/491,849.46 = 203,480.48/x
  3. Step 3: Cross multiply
    356,400.92x = 491,849.46 × 203,480.48
  4. Step 4: Simplify right side
    356,400.92x = 100,081,764,208.54
  5. Step 5: Solve for x
    x = 100,081,764,208.54/356,400.92
  6. Step 6: Final answer
    x = 280,812.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.