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Finding the Fourth Proportional to 521,662.12, 782,605.44 and 161,825.80

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Solution

The fourth proportional to 521,662.12, 782,605.44 and 161,825.80 is: 242,773.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,662.12 : 782,605.44 = 161,825.80 : x
  2. Step 2: Convert to fraction form
    521,662.12/782,605.44 = 161,825.80/x
  3. Step 3: Cross multiply
    521,662.12x = 782,605.44 × 161,825.80
  4. Step 4: Simplify right side
    521,662.12x = 126,645,746,690.20
  5. Step 5: Solve for x
    x = 126,645,746,690.20/521,662.12
  6. Step 6: Final answer
    x = 242,773.52

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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.