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Finding the Fourth Proportional to 311,099.69, 466,653.12 and 131,215.52

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Solution

The fourth proportional to 311,099.69, 466,653.12 and 131,215.52 is: 196,824.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,099.69 : 466,653.12 = 131,215.52 : x
  2. Step 2: Convert to fraction form
    311,099.69/466,653.12 = 131,215.52/x
  3. Step 3: Cross multiply
    311,099.69x = 466,653.12 × 131,215.52
  4. Step 4: Simplify right side
    311,099.69x = 61,232,129,467.16
  5. Step 5: Solve for x
    x = 61,232,129,467.16/311,099.69
  6. Step 6: Final answer
    x = 196,824.79

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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.