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Finding the Fourth Proportional to 521,656.82, 782,775.96 and 281,765.88

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Solution

The fourth proportional to 521,656.82, 782,775.96 and 281,765.88 is: 422,805.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,656.82 : 782,775.96 = 281,765.88 : x
  2. Step 2: Convert to fraction form
    521,656.82/782,775.96 = 281,765.88/x
  3. Step 3: Cross multiply
    521,656.82x = 782,775.96 × 281,765.88
  4. Step 4: Simplify right side
    521,656.82x = 220,559,554,002.78
  5. Step 5: Solve for x
    x = 220,559,554,002.78/521,656.82
  6. Step 6: Final answer
    x = 422,805.85

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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.