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Finding the Fourth Proportional to 512,421.92, 769,099.31 and 272,737.05

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Solution

The fourth proportional to 512,421.92, 769,099.31 and 272,737.05 is: 409,353.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,421.92 : 769,099.31 = 272,737.05 : x
  2. Step 2: Convert to fraction form
    512,421.92/769,099.31 = 272,737.05/x
  3. Step 3: Cross multiply
    512,421.92x = 769,099.31 × 272,737.05
  4. Step 4: Simplify right side
    512,421.92x = 209,761,873,741.39
  5. Step 5: Solve for x
    x = 209,761,873,741.39/512,421.92
  6. Step 6: Final answer
    x = 409,353.83

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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.