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Finding the Fourth Proportional to 378,910.63, 522,896.71 and 209,144.80

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Solution

The fourth proportional to 378,910.63, 522,896.71 and 209,144.80 is: 288,619.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,910.63 : 522,896.71 = 209,144.80 : x
  2. Step 2: Convert to fraction form
    378,910.63/522,896.71 = 209,144.80/x
  3. Step 3: Cross multiply
    378,910.63x = 522,896.71 × 209,144.80
  4. Step 4: Simplify right side
    378,910.63x = 109,361,124,696.26
  5. Step 5: Solve for x
    x = 109,361,124,696.26/378,910.63
  6. Step 6: Final answer
    x = 288,619.84

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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.