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Finding the Fourth Proportional to 378,410.36, 522,209.82 and 208,650.52

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Solution

The fourth proportional to 378,410.36, 522,209.82 and 208,650.52 is: 287,939.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,410.36 : 522,209.82 = 208,650.52 : x
  2. Step 2: Convert to fraction form
    378,410.36/522,209.82 = 208,650.52/x
  3. Step 3: Cross multiply
    378,410.36x = 522,209.82 × 208,650.52
  4. Step 4: Simplify right side
    378,410.36x = 108,959,350,492.11
  5. Step 5: Solve for x
    x = 108,959,350,492.11/378,410.36
  6. Step 6: Final answer
    x = 287,939.66

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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.