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Finding the Fourth Proportional to 329,584.60, 494,375.44 and 140,015.88

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Solution

The fourth proportional to 329,584.60, 494,375.44 and 140,015.88 is: 210,023.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,584.60 : 494,375.44 = 140,015.88 : x
  2. Step 2: Convert to fraction form
    329,584.60/494,375.44 = 140,015.88/x
  3. Step 3: Cross multiply
    329,584.60x = 494,375.44 × 140,015.88
  4. Step 4: Simplify right side
    329,584.60x = 69,220,412,281.99
  5. Step 5: Solve for x
    x = 69,220,412,281.99/329,584.60
  6. Step 6: Final answer
    x = 210,023.20

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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.