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Finding the Fourth Proportional to 298,161.92, 411,492.56 and 222,579.20

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Solution

The fourth proportional to 298,161.92, 411,492.56 and 222,579.20 is: 307,181.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,161.92 : 411,492.56 = 222,579.20 : x
  2. Step 2: Convert to fraction form
    298,161.92/411,492.56 = 222,579.20/x
  3. Step 3: Cross multiply
    298,161.92x = 411,492.56 × 222,579.20
  4. Step 4: Simplify right side
    298,161.92x = 91,589,684,810.75
  5. Step 5: Solve for x
    x = 91,589,684,810.75/298,161.92
  6. Step 6: Final answer
    x = 307,181.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.