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Finding the Fourth Proportional to 521,453.46, 782,264.79 and 161,540.22

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Solution

The fourth proportional to 521,453.46, 782,264.79 and 161,540.22 is: 242,336.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,453.46 : 782,264.79 = 161,540.22 : x
  2. Step 2: Convert to fraction form
    521,453.46/782,264.79 = 161,540.22/x
  3. Step 3: Cross multiply
    521,453.46x = 782,264.79 × 161,540.22
  4. Step 4: Simplify right side
    521,453.46x = 126,367,226,274.85
  5. Step 5: Solve for x
    x = 126,367,226,274.85/521,453.46
  6. Step 6: Final answer
    x = 242,336.54

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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.