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Finding the Fourth Proportional to 298,413.45, 447,620.22 and 285,455.52

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Solution

The fourth proportional to 298,413.45, 447,620.22 and 285,455.52 is: 428,183.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,413.45 : 447,620.22 = 285,455.52 : x
  2. Step 2: Convert to fraction form
    298,413.45/447,620.22 = 285,455.52/x
  3. Step 3: Cross multiply
    298,413.45x = 447,620.22 × 285,455.52
  4. Step 4: Simplify right side
    298,413.45x = 127,775,662,662.61
  5. Step 5: Solve for x
    x = 127,775,662,662.61/298,413.45
  6. Step 6: Final answer
    x = 428,183.32

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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.