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Finding the Fourth Proportional to 279,906.77, 419,816.87 and 102,372.26

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Solution

The fourth proportional to 279,906.77, 419,816.87 and 102,372.26 is: 153,542.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,906.77 : 419,816.87 = 102,372.26 : x
  2. Step 2: Convert to fraction form
    279,906.77/419,816.87 = 102,372.26/x
  3. Step 3: Cross multiply
    279,906.77x = 419,816.87 × 102,372.26
  4. Step 4: Simplify right side
    279,906.77x = 42,977,601,256.16
  5. Step 5: Solve for x
    x = 42,977,601,256.16/279,906.77
  6. Step 6: Final answer
    x = 153,542.56

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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.