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Finding the Fourth Proportional to 220,432.44, 330,742.28 and 120,475.86

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Solution

The fourth proportional to 220,432.44, 330,742.28 and 120,475.86 is: 180,764.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,432.44 : 330,742.28 = 120,475.86 : x
  2. Step 2: Convert to fraction form
    220,432.44/330,742.28 = 120,475.86/x
  3. Step 3: Cross multiply
    220,432.44x = 330,742.28 × 120,475.86
  4. Step 4: Simplify right side
    220,432.44x = 39,846,460,621.36
  5. Step 5: Solve for x
    x = 39,846,460,621.36/220,432.44
  6. Step 6: Final answer
    x = 180,764.96

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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.