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Finding the Fourth Proportional to 503,072.91, 694,237.23 and 285,323.04

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Solution

The fourth proportional to 503,072.91, 694,237.23 and 285,323.04 is: 393,743.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,072.91 : 694,237.23 = 285,323.04 : x
  2. Step 2: Convert to fraction form
    503,072.91/694,237.23 = 285,323.04/x
  3. Step 3: Cross multiply
    503,072.91x = 694,237.23 × 285,323.04
  4. Step 4: Simplify right side
    503,072.91x = 198,081,876,944.78
  5. Step 5: Solve for x
    x = 198,081,876,944.78/503,072.91
  6. Step 6: Final answer
    x = 393,743.87

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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.