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Finding the Fourth Proportional to 503,315.35, 694,586.73 and 285,538.60

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Solution

The fourth proportional to 503,315.35, 694,586.73 and 285,538.60 is: 394,049.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,315.35 : 694,586.73 = 285,538.60 : x
  2. Step 2: Convert to fraction form
    503,315.35/694,586.73 = 285,538.60/x
  3. Step 3: Cross multiply
    503,315.35x = 694,586.73 × 285,538.60
  4. Step 4: Simplify right side
    503,315.35x = 198,331,324,401.78
  5. Step 5: Solve for x
    x = 198,331,324,401.78/503,315.35
  6. Step 6: Final answer
    x = 394,049.82

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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.