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Finding the Fourth Proportional to 311,294.40, 466,999.20 and 100,939.20

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Solution

The fourth proportional to 311,294.40, 466,999.20 and 100,939.20 is: 151,427.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,294.40 : 466,999.20 = 100,939.20 : x
  2. Step 2: Convert to fraction form
    311,294.40/466,999.20 = 100,939.20/x
  3. Step 3: Cross multiply
    311,294.40x = 466,999.20 × 100,939.20
  4. Step 4: Simplify right side
    311,294.40x = 47,138,525,648.64
  5. Step 5: Solve for x
    x = 47,138,525,648.64/311,294.40
  6. Step 6: Final answer
    x = 151,427.48

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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.