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Finding the Fourth Proportional to 521,774.56, 782,219.76 and 206,453.92

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Solution

The fourth proportional to 521,774.56, 782,219.76 and 206,453.92 is: 309,505.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,774.56 : 782,219.76 = 206,453.92 : x
  2. Step 2: Convert to fraction form
    521,774.56/782,219.76 = 206,453.92/x
  3. Step 3: Cross multiply
    521,774.56x = 782,219.76 × 206,453.92
  4. Step 4: Simplify right side
    521,774.56x = 161,492,335,753.46
  5. Step 5: Solve for x
    x = 161,492,335,753.46/521,774.56
  6. Step 6: Final answer
    x = 309,505.96

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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.