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Finding the Fourth Proportional to 503,830.38, 755,942.52 and 188,213.60

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Solution

The fourth proportional to 503,830.38, 755,942.52 and 188,213.60 is: 282,393.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,830.38 : 755,942.52 = 188,213.60 : x
  2. Step 2: Convert to fraction form
    503,830.38/755,942.52 = 188,213.60/x
  3. Step 3: Cross multiply
    503,830.38x = 755,942.52 × 188,213.60
  4. Step 4: Simplify right side
    503,830.38x = 142,278,663,082.27
  5. Step 5: Solve for x
    x = 142,278,663,082.27/503,830.38
  6. Step 6: Final answer
    x = 282,393.97

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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.