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Finding the Fourth Proportional to 311,920.80, 467,881.20 and 154,116.60

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Solution

The fourth proportional to 311,920.80, 467,881.20 and 154,116.60 is: 231,174.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,920.80 : 467,881.20 = 154,116.60 : x
  2. Step 2: Convert to fraction form
    311,920.80/467,881.20 = 154,116.60/x
  3. Step 3: Cross multiply
    311,920.80x = 467,881.20 × 154,116.60
  4. Step 4: Simplify right side
    311,920.80x = 72,108,259,747.92
  5. Step 5: Solve for x
    x = 72,108,259,747.92/311,920.80
  6. Step 6: Final answer
    x = 231,174.90

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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.