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Finding the Fourth Proportional to 311,098.28, 466,721.22 and 100,735.88

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Solution

The fourth proportional to 311,098.28, 466,721.22 and 100,735.88 is: 151,127.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,098.28 : 466,721.22 = 100,735.88 : x
  2. Step 2: Convert to fraction form
    311,098.28/466,721.22 = 100,735.88/x
  3. Step 3: Cross multiply
    311,098.28x = 466,721.22 × 100,735.88
  4. Step 4: Simplify right side
    311,098.28x = 47,015,572,811.37
  5. Step 5: Solve for x
    x = 47,015,572,811.37/311,098.28
  6. Step 6: Final answer
    x = 151,127.72

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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.