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Finding the Fourth Proportional to 311,449.36, 466,878.48 and 100,939.36

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Solution

The fourth proportional to 311,449.36, 466,878.48 and 100,939.36 is: 151,313.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,449.36 : 466,878.48 = 100,939.36 : x
  2. Step 2: Convert to fraction form
    311,449.36/466,878.48 = 100,939.36/x
  3. Step 3: Cross multiply
    311,449.36x = 466,878.48 × 100,939.36
  4. Step 4: Simplify right side
    311,449.36x = 47,126,414,968.97
  5. Step 5: Solve for x
    x = 47,126,414,968.97/311,449.36
  6. Step 6: Final answer
    x = 151,313.25

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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.