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Finding the Fourth Proportional to 521,109.82, 781,721.37 and 166,040.38

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Solution

The fourth proportional to 521,109.82, 781,721.37 and 166,040.38 is: 249,078.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,109.82 : 781,721.37 = 166,040.38 : x
  2. Step 2: Convert to fraction form
    521,109.82/781,721.37 = 166,040.38/x
  3. Step 3: Cross multiply
    521,109.82x = 781,721.37 × 166,040.38
  4. Step 4: Simplify right side
    521,109.82x = 129,797,313,328.92
  5. Step 5: Solve for x
    x = 129,797,313,328.92/521,109.82
  6. Step 6: Final answer
    x = 249,078.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.