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Finding the Fourth Proportional to 521,808.25, 782,166.09 and 218,376.27

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Solution

The fourth proportional to 521,808.25, 782,166.09 and 218,376.27 is: 327,335.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,808.25 : 782,166.09 = 218,376.27 : x
  2. Step 2: Convert to fraction form
    521,808.25/782,166.09 = 218,376.27/x
  3. Step 3: Cross multiply
    521,808.25x = 782,166.09 × 218,376.27
  4. Step 4: Simplify right side
    521,808.25x = 170,806,513,254.68
  5. Step 5: Solve for x
    x = 170,806,513,254.68/521,808.25
  6. Step 6: Final answer
    x = 327,335.79

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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.