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Finding the Fourth Proportional to 290,221.39, 434,205.77 and 254,413.37

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Solution

The fourth proportional to 290,221.39, 434,205.77 and 254,413.37 is: 380,632.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,221.39 : 434,205.77 = 254,413.37 : x
  2. Step 2: Convert to fraction form
    290,221.39/434,205.77 = 254,413.37/x
  3. Step 3: Cross multiply
    290,221.39x = 434,205.77 × 254,413.37
  4. Step 4: Simplify right side
    290,221.39x = 110,467,753,219.15
  5. Step 5: Solve for x
    x = 110,467,753,219.15/290,221.39
  6. Step 6: Final answer
    x = 380,632.71

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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.