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Finding the Fourth Proportional to 521,052.64, 781,170.67 and 205,745.56

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Solution

The fourth proportional to 521,052.64, 781,170.67 and 205,745.56 is: 308,457.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,052.64 : 781,170.67 = 205,745.56 : x
  2. Step 2: Convert to fraction form
    521,052.64/781,170.67 = 205,745.56/x
  3. Step 3: Cross multiply
    521,052.64x = 781,170.67 × 205,745.56
  4. Step 4: Simplify right side
    521,052.64x = 160,722,396,954.73
  5. Step 5: Solve for x
    x = 160,722,396,954.73/521,052.64
  6. Step 6: Final answer
    x = 308,457.12

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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.