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Finding the Fourth Proportional to 513,047.80, 768,900.60 and 275,879.80

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Solution

The fourth proportional to 513,047.80, 768,900.60 and 275,879.80 is: 413,458.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,047.80 : 768,900.60 = 275,879.80 : x
  2. Step 2: Convert to fraction form
    513,047.80/768,900.60 = 275,879.80/x
  3. Step 3: Cross multiply
    513,047.80x = 768,900.60 × 275,879.80
  4. Step 4: Simplify right side
    513,047.80x = 212,124,143,747.88
  5. Step 5: Solve for x
    x = 212,124,143,747.88/513,047.80
  6. Step 6: Final answer
    x = 413,458.83

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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.