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Finding the Fourth Proportional to 305,912.70, 458,869.05 and 164,195.10

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Solution

The fourth proportional to 305,912.70, 458,869.05 and 164,195.10 is: 246,292.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,912.70 : 458,869.05 = 164,195.10 : x
  2. Step 2: Convert to fraction form
    305,912.70/458,869.05 = 164,195.10/x
  3. Step 3: Cross multiply
    305,912.70x = 458,869.05 × 164,195.10
  4. Step 4: Simplify right side
    305,912.70x = 75,344,049,551.66
  5. Step 5: Solve for x
    x = 75,344,049,551.66/305,912.70
  6. Step 6: Final answer
    x = 246,292.65

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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.