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Finding the Fourth Proportional to 385,429.82, 578,183.23 and 132,676.86

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Solution

The fourth proportional to 385,429.82, 578,183.23 and 132,676.86 is: 199,028.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,429.82 : 578,183.23 = 132,676.86 : x
  2. Step 2: Convert to fraction form
    385,429.82/578,183.23 = 132,676.86/x
  3. Step 3: Cross multiply
    385,429.82x = 578,183.23 × 132,676.86
  4. Step 4: Simplify right side
    385,429.82x = 76,711,535,609.22
  5. Step 5: Solve for x
    x = 76,711,535,609.22/385,429.82
  6. Step 6: Final answer
    x = 199,028.54

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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.