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Finding the Fourth Proportional to 378,511.70, 567,002.10 and 235,919.30

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Solution

The fourth proportional to 378,511.70, 567,002.10 and 235,919.30 is: 353,401.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,511.70 : 567,002.10 = 235,919.30 : x
  2. Step 2: Convert to fraction form
    378,511.70/567,002.10 = 235,919.30/x
  3. Step 3: Cross multiply
    378,511.70x = 567,002.10 × 235,919.30
  4. Step 4: Simplify right side
    378,511.70x = 133,766,738,530.53
  5. Step 5: Solve for x
    x = 133,766,738,530.53/378,511.70
  6. Step 6: Final answer
    x = 353,401.86

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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.