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Finding the Fourth Proportional to 517,951.38, 777,653.97 and 265,413.33

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Solution

The fourth proportional to 517,951.38, 777,653.97 and 265,413.33 is: 398,492.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,951.38 : 777,653.97 = 265,413.33 : x
  2. Step 2: Convert to fraction form
    517,951.38/777,653.97 = 265,413.33/x
  3. Step 3: Cross multiply
    517,951.38x = 777,653.97 × 265,413.33
  4. Step 4: Simplify right side
    517,951.38x = 206,399,729,765.42
  5. Step 5: Solve for x
    x = 206,399,729,765.42/517,951.38
  6. Step 6: Final answer
    x = 398,492.48

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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.