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Finding the Fourth Proportional to 262,997.37, 394,501.32 and 85,503.96

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Solution

The fourth proportional to 262,997.37, 394,501.32 and 85,503.96 is: 128,257.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,997.37 : 394,501.32 = 85,503.96 : x
  2. Step 2: Convert to fraction form
    262,997.37/394,501.32 = 85,503.96/x
  3. Step 3: Cross multiply
    262,997.37x = 394,501.32 × 85,503.96
  4. Step 4: Simplify right side
    262,997.37x = 33,731,425,085.23
  5. Step 5: Solve for x
    x = 33,731,425,085.23/262,997.37
  6. Step 6: Final answer
    x = 128,257.65

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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.