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Finding the Fourth Proportional to 378,970.60, 522,987.34 and 206,895.82

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Solution

The fourth proportional to 378,970.60, 522,987.34 and 206,895.82 is: 285,520.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,970.60 : 522,987.34 = 206,895.82 : x
  2. Step 2: Convert to fraction form
    378,970.60/522,987.34 = 206,895.82/x
  3. Step 3: Cross multiply
    378,970.60x = 522,987.34 × 206,895.82
  4. Step 4: Simplify right side
    378,970.60x = 108,203,891,943.98
  5. Step 5: Solve for x
    x = 108,203,891,943.98/378,970.60
  6. Step 6: Final answer
    x = 285,520.54

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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.