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Finding the Fourth Proportional to 521,228.59, 782,348.47 and 251,546.56

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Solution

The fourth proportional to 521,228.59, 782,348.47 and 251,546.56 is: 377,563.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,228.59 : 782,348.47 = 251,546.56 : x
  2. Step 2: Convert to fraction form
    521,228.59/782,348.47 = 251,546.56/x
  3. Step 3: Cross multiply
    521,228.59x = 782,348.47 × 251,546.56
  4. Step 4: Simplify right side
    521,228.59x = 196,797,063,765.03
  5. Step 5: Solve for x
    x = 196,797,063,765.03/521,228.59
  6. Step 6: Final answer
    x = 377,563.83

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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.