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Finding the Fourth Proportional to 378,655.94, 522,544.49 and 206,573.91

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Solution

The fourth proportional to 378,655.94, 522,544.49 and 206,573.91 is: 285,071.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,655.94 : 522,544.49 = 206,573.91 : x
  2. Step 2: Convert to fraction form
    378,655.94/522,544.49 = 206,573.91/x
  3. Step 3: Cross multiply
    378,655.94x = 522,544.49 × 206,573.91
  4. Step 4: Simplify right side
    378,655.94x = 107,944,058,448.26
  5. Step 5: Solve for x
    x = 107,944,058,448.26/378,655.94
  6. Step 6: Final answer
    x = 285,071.61

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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.