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Finding the Fourth Proportional to 305,375.44, 457,765.32 and 145,408.39

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Solution

The fourth proportional to 305,375.44, 457,765.32 and 145,408.39 is: 217,970.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,375.44 : 457,765.32 = 145,408.39 : x
  2. Step 2: Convert to fraction form
    305,375.44/457,765.32 = 145,408.39/x
  3. Step 3: Cross multiply
    305,375.44x = 457,765.32 × 145,408.39
  4. Step 4: Simplify right side
    305,375.44x = 66,562,918,179.03
  5. Step 5: Solve for x
    x = 66,562,918,179.03/305,375.44
  6. Step 6: Final answer
    x = 217,970.76

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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.