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Finding the Fourth Proportional to 300,251, 414,359.52 and 166,115

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Solution

The fourth proportional to 300,251, 414,359.52 and 166,115 is: 229,245.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,251 : 414,359.52 = 166,115 : x
  2. Step 2: Convert to fraction form
    300,251/414,359.52 = 166,115/x
  3. Step 3: Cross multiply
    300,251x = 414,359.52 × 166,115
  4. Step 4: Simplify right side
    300,251x = 68,831,331,664.80
  5. Step 5: Solve for x
    x = 68,831,331,664.80/300,251
  6. Step 6: Final answer
    x = 229,245.97

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1.5x scale

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.