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Finding the Fourth Proportional to 521,722.20, 782,583.30 and 206,016.60

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Solution

The fourth proportional to 521,722.20, 782,583.30 and 206,016.60 is: 309,024.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,722.20 : 782,583.30 = 206,016.60 : x
  2. Step 2: Convert to fraction form
    521,722.20/782,583.30 = 206,016.60/x
  3. Step 3: Cross multiply
    521,722.20x = 782,583.30 × 206,016.60
  4. Step 4: Simplify right side
    521,722.20x = 161,225,150,682.78
  5. Step 5: Solve for x
    x = 161,225,150,682.78/521,722.20
  6. Step 6: Final answer
    x = 309,024.90

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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.