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Finding the Fourth Proportional to 305,508.38, 458,114.40 and 179,189.87

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Solution

The fourth proportional to 305,508.38, 458,114.40 and 179,189.87 is: 268,697.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,508.38 : 458,114.40 = 179,189.87 : x
  2. Step 2: Convert to fraction form
    305,508.38/458,114.40 = 179,189.87/x
  3. Step 3: Cross multiply
    305,508.38x = 458,114.40 × 179,189.87
  4. Step 4: Simplify right side
    305,508.38x = 82,089,457,490.56
  5. Step 5: Solve for x
    x = 82,089,457,490.56/305,508.38
  6. Step 6: Final answer
    x = 268,697.90

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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.