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Finding the Fourth Proportional to 378,305.16, 522,051.28 and 206,226.54

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Solution

The fourth proportional to 378,305.16, 522,051.28 and 206,226.54 is: 284,587.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,305.16 : 522,051.28 = 206,226.54 : x
  2. Step 2: Convert to fraction form
    378,305.16/522,051.28 = 206,226.54/x
  3. Step 3: Cross multiply
    378,305.16x = 522,051.28 × 206,226.54
  4. Step 4: Simplify right side
    378,305.16x = 107,660,829,176.97
  5. Step 5: Solve for x
    x = 107,660,829,176.97/378,305.16
  6. Step 6: Final answer
    x = 284,587.26

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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.