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Finding the Fourth Proportional to 503,044.56, 693,996.63 and 285,207.27

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Solution

The fourth proportional to 503,044.56, 693,996.63 and 285,207.27 is: 393,469.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,044.56 : 693,996.63 = 285,207.27 : x
  2. Step 2: Convert to fraction form
    503,044.56/693,996.63 = 285,207.27/x
  3. Step 3: Cross multiply
    503,044.56x = 693,996.63 × 285,207.27
  4. Step 4: Simplify right side
    503,044.56x = 197,932,884,231.50
  5. Step 5: Solve for x
    x = 197,932,884,231.50/503,044.56
  6. Step 6: Final answer
    x = 393,469.88

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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.