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Finding the Fourth Proportional to 378,862.02, 522,830.68 and 206,781.56

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Solution

The fourth proportional to 378,862.02, 522,830.68 and 206,781.56 is: 285,359.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,862.02 : 522,830.68 = 206,781.56 : x
  2. Step 2: Convert to fraction form
    378,862.02/522,830.68 = 206,781.56/x
  3. Step 3: Cross multiply
    378,862.02x = 522,830.68 × 206,781.56
  4. Step 4: Simplify right side
    378,862.02x = 108,111,743,626.26
  5. Step 5: Solve for x
    x = 108,111,743,626.26/378,862.02
  6. Step 6: Final answer
    x = 285,359.15

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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.