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Finding the Fourth Proportional to 285,413.15, 428,085.71 and 75,067.49

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Solution

The fourth proportional to 285,413.15, 428,085.71 and 75,067.49 is: 112,592.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,413.15 : 428,085.71 = 75,067.49 : x
  2. Step 2: Convert to fraction form
    285,413.15/428,085.71 = 75,067.49/x
  3. Step 3: Cross multiply
    285,413.15x = 428,085.71 × 75,067.49
  4. Step 4: Simplify right side
    285,413.15x = 32,135,320,730.95
  5. Step 5: Solve for x
    x = 32,135,320,730.95/285,413.15
  6. Step 6: Final answer
    x = 112,592.29

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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.