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Finding the Fourth Proportional to 347,809.82, 520,766.22 and 263,314.40

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Solution

The fourth proportional to 347,809.82, 520,766.22 and 263,314.40 is: 394,253.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,809.82 : 520,766.22 = 263,314.40 : x
  2. Step 2: Convert to fraction form
    347,809.82/520,766.22 = 263,314.40/x
  3. Step 3: Cross multiply
    347,809.82x = 520,766.22 × 263,314.40
  4. Step 4: Simplify right side
    347,809.82x = 137,125,244,759.57
  5. Step 5: Solve for x
    x = 137,125,244,759.57/347,809.82
  6. Step 6: Final answer
    x = 394,253.52

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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.