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Finding the Fourth Proportional to 392,289, 541,358.82 and 213,441

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Solution

The fourth proportional to 392,289, 541,358.82 and 213,441 is: 294,548.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,289 : 541,358.82 = 213,441 : x
  2. Step 2: Convert to fraction form
    392,289/541,358.82 = 213,441/x
  3. Step 3: Cross multiply
    392,289x = 541,358.82 × 213,441
  4. Step 4: Simplify right side
    392,289x = 115,548,167,899.62
  5. Step 5: Solve for x
    x = 115,548,167,899.62/392,289
  6. Step 6: Final answer
    x = 294,548.58

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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.