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Finding the Fourth Proportional to 521,912.12, 782,992.74 and 184,982.22

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Solution

The fourth proportional to 521,912.12, 782,992.74 and 184,982.22 is: 277,517.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,912.12 : 782,992.74 = 184,982.22 : x
  2. Step 2: Convert to fraction form
    521,912.12/782,992.74 = 184,982.22/x
  3. Step 3: Cross multiply
    521,912.12x = 782,992.74 × 184,982.22
  4. Step 4: Simplify right side
    521,912.12x = 144,839,735,289.08
  5. Step 5: Solve for x
    x = 144,839,735,289.08/521,912.12
  6. Step 6: Final answer
    x = 277,517.48

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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.