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Finding the Fourth Proportional to 405,739.62, 560,380.14 and 276,453.90

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Solution

The fourth proportional to 405,739.62, 560,380.14 and 276,453.90 is: 381,819.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,739.62 : 560,380.14 = 276,453.90 : x
  2. Step 2: Convert to fraction form
    405,739.62/560,380.14 = 276,453.90/x
  3. Step 3: Cross multiply
    405,739.62x = 560,380.14 × 276,453.90
  4. Step 4: Simplify right side
    405,739.62x = 154,919,275,185.55
  5. Step 5: Solve for x
    x = 154,919,275,185.55/405,739.62
  6. Step 6: Final answer
    x = 381,819.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.