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Finding the Fourth Proportional to 515,413.13, 711,256.82 and 285,969.56

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Solution

The fourth proportional to 515,413.13, 711,256.82 and 285,969.56 is: 394,630.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,413.13 : 711,256.82 = 285,969.56 : x
  2. Step 2: Convert to fraction form
    515,413.13/711,256.82 = 285,969.56/x
  3. Step 3: Cross multiply
    515,413.13x = 711,256.82 × 285,969.56
  4. Step 4: Simplify right side
    515,413.13x = 203,397,794,876.27
  5. Step 5: Solve for x
    x = 203,397,794,876.27/515,413.13
  6. Step 6: Final answer
    x = 394,630.61

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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.