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Finding the Fourth Proportional to 305,437.20, 458,350.20 and 179,077.20

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Solution

The fourth proportional to 305,437.20, 458,350.20 and 179,077.20 is: 268,729.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,437.20 : 458,350.20 = 179,077.20 : x
  2. Step 2: Convert to fraction form
    305,437.20/458,350.20 = 179,077.20/x
  3. Step 3: Cross multiply
    305,437.20x = 458,350.20 × 179,077.20
  4. Step 4: Simplify right side
    305,437.20x = 82,080,070,435.44
  5. Step 5: Solve for x
    x = 82,080,070,435.44/305,437.20
  6. Step 6: Final answer
    x = 268,729.78

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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.