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Finding the Fourth Proportional to 279,682.92, 419,174.10 and 220,284

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Solution

The fourth proportional to 279,682.92, 419,174.10 and 220,284 is: 330,150.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,682.92 : 419,174.10 = 220,284 : x
  2. Step 2: Convert to fraction form
    279,682.92/419,174.10 = 220,284/x
  3. Step 3: Cross multiply
    279,682.92x = 419,174.10 × 220,284
  4. Step 4: Simplify right side
    279,682.92x = 92,337,347,444.40
  5. Step 5: Solve for x
    x = 92,337,347,444.40/279,682.92
  6. Step 6: Final answer
    x = 330,150.11

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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.