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Finding the Fourth Proportional to 223,413.21, 335,358.54 and 90,380.43

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Solution

The fourth proportional to 223,413.21, 335,358.54 and 90,380.43 is: 135,667.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,413.21 : 335,358.54 = 90,380.43 : x
  2. Step 2: Convert to fraction form
    223,413.21/335,358.54 = 90,380.43/x
  3. Step 3: Cross multiply
    223,413.21x = 335,358.54 × 90,380.43
  4. Step 4: Simplify right side
    223,413.21x = 30,309,849,049.37
  5. Step 5: Solve for x
    x = 30,309,849,049.37/223,413.21
  6. Step 6: Final answer
    x = 135,667.22

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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.