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Finding the Fourth Proportional to 311,821.96, 467,760.30 and 87,184.84

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Solution

The fourth proportional to 311,821.96, 467,760.30 and 87,184.84 is: 130,784.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,821.96 : 467,760.30 = 87,184.84 : x
  2. Step 2: Convert to fraction form
    311,821.96/467,760.30 = 87,184.84/x
  3. Step 3: Cross multiply
    311,821.96x = 467,760.30 × 87,184.84
  4. Step 4: Simplify right side
    311,821.96x = 40,781,606,913.85
  5. Step 5: Solve for x
    x = 40,781,606,913.85/311,821.96
  6. Step 6: Final answer
    x = 130,784.91

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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.