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Finding the Fourth Proportional to 378,871.47, 522,841.54 and 209,104.38

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Solution

The fourth proportional to 378,871.47, 522,841.54 and 209,104.38 is: 288,563.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,871.47 : 522,841.54 = 209,104.38 : x
  2. Step 2: Convert to fraction form
    378,871.47/522,841.54 = 209,104.38/x
  3. Step 3: Cross multiply
    378,871.47x = 522,841.54 × 209,104.38
  4. Step 4: Simplify right side
    378,871.47x = 109,328,456,059.95
  5. Step 5: Solve for x
    x = 109,328,456,059.95/378,871.47
  6. Step 6: Final answer
    x = 288,563.44

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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.