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Finding the Fourth Proportional to 305,763.12, 421,958.67 and 167,941.11

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Solution

The fourth proportional to 305,763.12, 421,958.67 and 167,941.11 is: 231,761.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,763.12 : 421,958.67 = 167,941.11 : x
  2. Step 2: Convert to fraction form
    305,763.12/421,958.67 = 167,941.11/x
  3. Step 3: Cross multiply
    305,763.12x = 421,958.67 × 167,941.11
  4. Step 4: Simplify right side
    305,763.12x = 70,864,207,413.92
  5. Step 5: Solve for x
    x = 70,864,207,413.92/305,763.12
  6. Step 6: Final answer
    x = 231,761.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.