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Finding the Fourth Proportional to 262,843.40, 394,221.96 and 73,316.66

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Solution

The fourth proportional to 262,843.40, 394,221.96 and 73,316.66 is: 109,962.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,843.40 : 394,221.96 = 73,316.66 : x
  2. Step 2: Convert to fraction form
    262,843.40/394,221.96 = 73,316.66/x
  3. Step 3: Cross multiply
    262,843.40x = 394,221.96 × 73,316.66
  4. Step 4: Simplify right side
    262,843.40x = 28,903,037,405.85
  5. Step 5: Solve for x
    x = 28,903,037,405.85/262,843.40
  6. Step 6: Final answer
    x = 109,962.96

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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.