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Finding the Fourth Proportional to 391,426.60, 587,139.90 and 204,413.80

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Solution

The fourth proportional to 391,426.60, 587,139.90 and 204,413.80 is: 306,620.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,426.60 : 587,139.90 = 204,413.80 : x
  2. Step 2: Convert to fraction form
    391,426.60/587,139.90 = 204,413.80/x
  3. Step 3: Cross multiply
    391,426.60x = 587,139.90 × 204,413.80
  4. Step 4: Simplify right side
    391,426.60x = 120,019,498,090.62
  5. Step 5: Solve for x
    x = 120,019,498,090.62/391,426.60
  6. Step 6: Final answer
    x = 306,620.70

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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.