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Finding the Fourth Proportional to 275,769, 413,460.55 and 140,874.84

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Solution

The fourth proportional to 275,769, 413,460.55 and 140,874.84 is: 211,213.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,769 : 413,460.55 = 140,874.84 : x
  2. Step 2: Convert to fraction form
    275,769/413,460.55 = 140,874.84/x
  3. Step 3: Cross multiply
    275,769x = 413,460.55 × 140,874.84
  4. Step 4: Simplify right side
    275,769x = 58,246,188,475.37
  5. Step 5: Solve for x
    x = 58,246,188,475.37/275,769
  6. Step 6: Final answer
    x = 211,213.69

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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.