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Finding the Fourth Proportional to 512,099.20, 769,023.60 and 275,903.20

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Solution

The fourth proportional to 512,099.20, 769,023.60 and 275,903.20 is: 414,326.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,099.20 : 769,023.60 = 275,903.20 : x
  2. Step 2: Convert to fraction form
    512,099.20/769,023.60 = 275,903.20/x
  3. Step 3: Cross multiply
    512,099.20x = 769,023.60 × 275,903.20
  4. Step 4: Simplify right side
    512,099.20x = 212,176,072,115.52
  5. Step 5: Solve for x
    x = 212,176,072,115.52/512,099.20
  6. Step 6: Final answer
    x = 414,326.12

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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.