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Finding the Fourth Proportional to 503,413.78, 694,554.57 and 285,586.54

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Solution

The fourth proportional to 503,413.78, 694,554.57 and 285,586.54 is: 394,020.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,413.78 : 694,554.57 = 285,586.54 : x
  2. Step 2: Convert to fraction form
    503,413.78/694,554.57 = 285,586.54/x
  3. Step 3: Cross multiply
    503,413.78x = 694,554.57 × 285,586.54
  4. Step 4: Simplify right side
    503,413.78x = 198,355,436,487.49
  5. Step 5: Solve for x
    x = 198,355,436,487.49/503,413.78
  6. Step 6: Final answer
    x = 394,020.67

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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.