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Finding the Fourth Proportional to 305,694.72, 421,856.37 and 167,872.14

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Solution

The fourth proportional to 305,694.72, 421,856.37 and 167,872.14 is: 231,662.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,694.72 : 421,856.37 = 167,872.14 : x
  2. Step 2: Convert to fraction form
    305,694.72/421,856.37 = 167,872.14/x
  3. Step 3: Cross multiply
    305,694.72x = 421,856.37 × 167,872.14
  4. Step 4: Simplify right side
    305,694.72x = 70,817,931,604.53
  5. Step 5: Solve for x
    x = 70,817,931,604.53/305,694.72
  6. Step 6: Final answer
    x = 231,662.27

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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.