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Finding the Fourth Proportional to 378,812.44, 522,764.22 and 206,731.76

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Solution

The fourth proportional to 378,812.44, 522,764.22 and 206,731.76 is: 285,291.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,812.44 : 522,764.22 = 206,731.76 : x
  2. Step 2: Convert to fraction form
    378,812.44/522,764.22 = 206,731.76/x
  3. Step 3: Cross multiply
    378,812.44x = 522,764.22 × 206,731.76
  4. Step 4: Simplify right side
    378,812.44x = 108,071,967,265.63
  5. Step 5: Solve for x
    x = 108,071,967,265.63/378,812.44
  6. Step 6: Final answer
    x = 285,291.49

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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.