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Finding the Fourth Proportional to 552,413.97, 762,323.78 and 310,696.49

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Solution

The fourth proportional to 552,413.97, 762,323.78 and 310,696.49 is: 428,756.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,413.97 : 762,323.78 = 310,696.49 : x
  2. Step 2: Convert to fraction form
    552,413.97/762,323.78 = 310,696.49/x
  3. Step 3: Cross multiply
    552,413.97x = 762,323.78 × 310,696.49
  4. Step 4: Simplify right side
    552,413.97x = 236,851,317,324.43
  5. Step 5: Solve for x
    x = 236,851,317,324.43/552,413.97
  6. Step 6: Final answer
    x = 428,756.93

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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.