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Finding the Fourth Proportional to 311,103.92, 466,730.40 and 100,742.24

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Solution

The fourth proportional to 311,103.92, 466,730.40 and 100,742.24 is: 151,137.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,103.92 : 466,730.40 = 100,742.24 : x
  2. Step 2: Convert to fraction form
    311,103.92/466,730.40 = 100,742.24/x
  3. Step 3: Cross multiply
    311,103.92x = 466,730.40 × 100,742.24
  4. Step 4: Simplify right side
    311,103.92x = 47,019,465,972.10
  5. Step 5: Solve for x
    x = 47,019,465,972.10/311,103.92
  6. Step 6: Final answer
    x = 151,137.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.