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Finding the Fourth Proportional to 347,843.88, 520,817.16 and 263,348.40

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Solution

The fourth proportional to 347,843.88, 520,817.16 and 263,348.40 is: 394,304.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,843.88 : 520,817.16 = 263,348.40 : x
  2. Step 2: Convert to fraction form
    347,843.88/520,817.16 = 263,348.40/x
  3. Step 3: Cross multiply
    347,843.88x = 520,817.16 × 263,348.40
  4. Step 4: Simplify right side
    347,843.88x = 137,156,365,778.54
  5. Step 5: Solve for x
    x = 137,156,365,778.54/347,843.88
  6. Step 6: Final answer
    x = 394,304.38

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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.