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Finding the Fourth Proportional to 279,530.10, 419,122.35 and 161,142.90

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Solution

The fourth proportional to 279,530.10, 419,122.35 and 161,142.90 is: 241,614.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,530.10 : 419,122.35 = 161,142.90 : x
  2. Step 2: Convert to fraction form
    279,530.10/419,122.35 = 161,142.90/x
  3. Step 3: Cross multiply
    279,530.10x = 419,122.35 × 161,142.90
  4. Step 4: Simplify right side
    279,530.10x = 67,538,590,933.82
  5. Step 5: Solve for x
    x = 67,538,590,933.82/279,530.10
  6. Step 6: Final answer
    x = 241,614.73

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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.