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Finding the Fourth Proportional to 378,283.77, 522,024.30 and 206,203.32

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Solution

The fourth proportional to 378,283.77, 522,024.30 and 206,203.32 is: 284,556.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,283.77 : 522,024.30 = 206,203.32 : x
  2. Step 2: Convert to fraction form
    378,283.77/522,024.30 = 206,203.32/x
  3. Step 3: Cross multiply
    378,283.77x = 522,024.30 × 206,203.32
  4. Step 4: Simplify right side
    378,283.77x = 107,643,143,780.68
  5. Step 5: Solve for x
    x = 107,643,143,780.68/378,283.77
  6. Step 6: Final answer
    x = 284,556.60

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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.