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Finding the Fourth Proportional to 298,159.92, 411,489.80 and 222,577.20

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Solution

The fourth proportional to 298,159.92, 411,489.80 and 222,577.20 is: 307,178.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,159.92 : 411,489.80 = 222,577.20 : x
  2. Step 2: Convert to fraction form
    298,159.92/411,489.80 = 222,577.20/x
  3. Step 3: Cross multiply
    298,159.92x = 411,489.80 × 222,577.20
  4. Step 4: Simplify right side
    298,159.92x = 91,588,247,512.56
  5. Step 5: Solve for x
    x = 91,588,247,512.56/298,159.92
  6. Step 6: Final answer
    x = 307,178.27

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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.