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Finding the Fourth Proportional to 262,874.82, 394,312.32 and 73,327.50

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Solution

The fourth proportional to 262,874.82, 394,312.32 and 73,327.50 is: 109,991.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,874.82 : 394,312.32 = 73,327.50 : x
  2. Step 2: Convert to fraction form
    262,874.82/394,312.32 = 73,327.50/x
  3. Step 3: Cross multiply
    262,874.82x = 394,312.32 × 73,327.50
  4. Step 4: Simplify right side
    262,874.82x = 28,913,936,644.80
  5. Step 5: Solve for x
    x = 28,913,936,644.80/262,874.82
  6. Step 6: Final answer
    x = 109,991.28

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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.