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Finding the Fourth Proportional to 378,804.74, 522,761.56 and 206,733.77

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Solution

The fourth proportional to 378,804.74, 522,761.56 and 206,733.77 is: 285,298.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,804.74 : 522,761.56 = 206,733.77 : x
  2. Step 2: Convert to fraction form
    378,804.74/522,761.56 = 206,733.77/x
  3. Step 3: Cross multiply
    378,804.74x = 522,761.56 × 206,733.77
  4. Step 4: Simplify right side
    378,804.74x = 108,072,466,939.60
  5. Step 5: Solve for x
    x = 108,072,466,939.60/378,804.74
  6. Step 6: Final answer
    x = 285,298.62

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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.