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Finding the Fourth Proportional to 258,413.53, 387,620.30 and 80,934.43

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Solution

The fourth proportional to 258,413.53, 387,620.30 and 80,934.43 is: 121,401.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,413.53 : 387,620.30 = 80,934.43 : x
  2. Step 2: Convert to fraction form
    258,413.53/387,620.30 = 80,934.43/x
  3. Step 3: Cross multiply
    258,413.53x = 387,620.30 × 80,934.43
  4. Step 4: Simplify right side
    258,413.53x = 31,371,829,208.32
  5. Step 5: Solve for x
    x = 31,371,829,208.32/258,413.53
  6. Step 6: Final answer
    x = 121,401.65

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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.