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Finding the Fourth Proportional to 263,365.60, 394,702.80 and 105,464.80

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Solution

The fourth proportional to 263,365.60, 394,702.80 and 105,464.80 is: 158,058.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,365.60 : 394,702.80 = 105,464.80 : x
  2. Step 2: Convert to fraction form
    263,365.60/394,702.80 = 105,464.80/x
  3. Step 3: Cross multiply
    263,365.60x = 394,702.80 × 105,464.80
  4. Step 4: Simplify right side
    263,365.60x = 41,627,251,861.44
  5. Step 5: Solve for x
    x = 41,627,251,861.44/263,365.60
  6. Step 6: Final answer
    x = 158,058.80

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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.