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Finding the Fourth Proportional to 279,618.42, 419,077.44 and 220,219.50

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Solution

The fourth proportional to 279,618.42, 419,077.44 and 220,219.50 is: 330,053.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,618.42 : 419,077.44 = 220,219.50 : x
  2. Step 2: Convert to fraction form
    279,618.42/419,077.44 = 220,219.50/x
  3. Step 3: Cross multiply
    279,618.42x = 419,077.44 × 220,219.50
  4. Step 4: Simplify right side
    279,618.42x = 92,289,024,298.08
  5. Step 5: Solve for x
    x = 92,289,024,298.08/279,618.42
  6. Step 6: Final answer
    x = 330,053.45

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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.