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Finding the Fourth Proportional to 391,413.94, 587,354.19 and 142,115.38

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Solution

The fourth proportional to 391,413.94, 587,354.19 and 142,115.38 is: 213,257.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,413.94 : 587,354.19 = 142,115.38 : x
  2. Step 2: Convert to fraction form
    391,413.94/587,354.19 = 142,115.38/x
  3. Step 3: Cross multiply
    391,413.94x = 587,354.19 × 142,115.38
  4. Step 4: Simplify right side
    391,413.94x = 83,472,063,906.44
  5. Step 5: Solve for x
    x = 83,472,063,906.44/391,413.94
  6. Step 6: Final answer
    x = 213,257.77

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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.