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Finding the Fourth Proportional to 311,912.40, 467,561.40 and 154,165.20

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Solution

The fourth proportional to 311,912.40, 467,561.40 and 154,165.20 is: 231,095.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,912.40 : 467,561.40 = 154,165.20 : x
  2. Step 2: Convert to fraction form
    311,912.40/467,561.40 = 154,165.20/x
  3. Step 3: Cross multiply
    311,912.40x = 467,561.40 × 154,165.20
  4. Step 4: Simplify right side
    311,912.40x = 72,081,696,743.28
  5. Step 5: Solve for x
    x = 72,081,696,743.28/311,912.40
  6. Step 6: Final answer
    x = 231,095.96

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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.