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Finding the Fourth Proportional to 305,680.95, 421,844.67 and 169,723.67

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Solution

The fourth proportional to 305,680.95, 421,844.67 and 169,723.67 is: 234,221.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,680.95 : 421,844.67 = 169,723.67 : x
  2. Step 2: Convert to fraction form
    305,680.95/421,844.67 = 169,723.67/x
  3. Step 3: Cross multiply
    305,680.95x = 421,844.67 × 169,723.67
  4. Step 4: Simplify right side
    305,680.95x = 71,597,023,453.12
  5. Step 5: Solve for x
    x = 71,597,023,453.12/305,680.95
  6. Step 6: Final answer
    x = 234,221.41

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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.