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Finding the Fourth Proportional to 347,643.72, 520,517.26 and 263,147.76

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Solution

The fourth proportional to 347,643.72, 520,517.26 and 263,147.76 is: 394,003.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,643.72 : 520,517.26 = 263,147.76 : x
  2. Step 2: Convert to fraction form
    347,643.72/520,517.26 = 263,147.76/x
  3. Step 3: Cross multiply
    347,643.72x = 520,517.26 × 263,147.76
  4. Step 4: Simplify right side
    347,643.72x = 136,972,951,010.34
  5. Step 5: Solve for x
    x = 136,972,951,010.34/347,643.72
  6. Step 6: Final answer
    x = 394,003.81

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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.