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Finding the Fourth Proportional to 378,301.41, 522,059.49 and 208,541.61

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Solution

The fourth proportional to 378,301.41, 522,059.49 and 208,541.61 is: 287,789.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,301.41 : 522,059.49 = 208,541.61 : x
  2. Step 2: Convert to fraction form
    378,301.41/522,059.49 = 208,541.61/x
  3. Step 3: Cross multiply
    378,301.41x = 522,059.49 × 208,541.61
  4. Step 4: Simplify right side
    378,301.41x = 108,871,126,560.38
  5. Step 5: Solve for x
    x = 108,871,126,560.38/378,301.41
  6. Step 6: Final answer
    x = 287,789.38

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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.