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Finding the Fourth Proportional to 378,606.52, 522,486.86 and 206,527.38

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Solution

The fourth proportional to 378,606.52, 522,486.86 and 206,527.38 is: 285,013.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,606.52 : 522,486.86 = 206,527.38 : x
  2. Step 2: Convert to fraction form
    378,606.52/522,486.86 = 206,527.38/x
  3. Step 3: Cross multiply
    378,606.52x = 522,486.86 × 206,527.38
  4. Step 4: Simplify right side
    378,606.52x = 107,907,842,280.23
  5. Step 5: Solve for x
    x = 107,907,842,280.23/378,606.52
  6. Step 6: Final answer
    x = 285,013.16

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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.