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Finding the Fourth Proportional to 279,993.10, 419,114.85 and 201,261.10

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Solution

The fourth proportional to 279,993.10, 419,114.85 and 201,261.10 is: 301,262.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,993.10 : 419,114.85 = 201,261.10 : x
  2. Step 2: Convert to fraction form
    279,993.10/419,114.85 = 201,261.10/x
  3. Step 3: Cross multiply
    279,993.10x = 419,114.85 × 201,261.10
  4. Step 4: Simplify right side
    279,993.10x = 84,351,515,737.34
  5. Step 5: Solve for x
    x = 84,351,515,737.34/279,993.10
  6. Step 6: Final answer
    x = 301,262.84

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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.