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Finding the Fourth Proportional to 311,120.96, 466,676 and 100,759.28

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Solution

The fourth proportional to 311,120.96, 466,676 and 100,759.28 is: 151,137.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,120.96 : 466,676 = 100,759.28 : x
  2. Step 2: Convert to fraction form
    311,120.96/466,676 = 100,759.28/x
  3. Step 3: Cross multiply
    311,120.96x = 466,676 × 100,759.28
  4. Step 4: Simplify right side
    311,120.96x = 47,021,937,753.28
  5. Step 5: Solve for x
    x = 47,021,937,753.28/311,120.96
  6. Step 6: Final answer
    x = 151,137.16

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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.