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Finding the Fourth Proportional to 306,375.60, 458,469.90 and 194,109.60

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Solution

The fourth proportional to 306,375.60, 458,469.90 and 194,109.60 is: 290,471.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,375.60 : 458,469.90 = 194,109.60 : x
  2. Step 2: Convert to fraction form
    306,375.60/458,469.90 = 194,109.60/x
  3. Step 3: Cross multiply
    306,375.60x = 458,469.90 × 194,109.60
  4. Step 4: Simplify right side
    306,375.60x = 88,993,408,901.04
  5. Step 5: Solve for x
    x = 88,993,408,901.04/306,375.60
  6. Step 6: Final answer
    x = 290,471.59

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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.