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Finding the Fourth Proportional to 378,686.68, 522,569.38 and 206,594.40

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Solution

The fourth proportional to 378,686.68, 522,569.38 and 206,594.40 is: 285,090.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,686.68 : 522,569.38 = 206,594.40 : x
  2. Step 2: Convert to fraction form
    378,686.68/522,569.38 = 206,594.40/x
  3. Step 3: Cross multiply
    378,686.68x = 522,569.38 × 206,594.40
  4. Step 4: Simplify right side
    378,686.68x = 107,959,907,519.47
  5. Step 5: Solve for x
    x = 107,959,907,519.47/378,686.68
  6. Step 6: Final answer
    x = 285,090.32

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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.