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Finding the Fourth Proportional to 542,979.20, 814,857.60 and 227,662.40

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Solution

The fourth proportional to 542,979.20, 814,857.60 and 227,662.40 is: 341,656.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,979.20 : 814,857.60 = 227,662.40 : x
  2. Step 2: Convert to fraction form
    542,979.20/814,857.60 = 227,662.40/x
  3. Step 3: Cross multiply
    542,979.20x = 814,857.60 × 227,662.40
  4. Step 4: Simplify right side
    542,979.20x = 185,512,436,874.24
  5. Step 5: Solve for x
    x = 185,512,436,874.24/542,979.20
  6. Step 6: Final answer
    x = 341,656.62

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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.