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Finding the Fourth Proportional to 538,811.92, 808,165.40 and 218,982.97

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Solution

The fourth proportional to 538,811.92, 808,165.40 and 218,982.97 is: 328,453.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,811.92 : 808,165.40 = 218,982.97 : x
  2. Step 2: Convert to fraction form
    538,811.92/808,165.40 = 218,982.97/x
  3. Step 3: Cross multiply
    538,811.92x = 808,165.40 × 218,982.97
  4. Step 4: Simplify right side
    538,811.92x = 176,974,456,049.87
  5. Step 5: Solve for x
    x = 176,974,456,049.87/538,811.92
  6. Step 6: Final answer
    x = 328,453.12

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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.