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Finding the Fourth Proportional to 220,578, 330,445.19 and 149,150.04

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Solution

The fourth proportional to 220,578, 330,445.19 and 149,150.04 is: 223,439.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,578 : 330,445.19 = 149,150.04 : x
  2. Step 2: Convert to fraction form
    220,578/330,445.19 = 149,150.04/x
  3. Step 3: Cross multiply
    220,578x = 330,445.19 × 149,150.04
  4. Step 4: Simplify right side
    220,578x = 49,285,912,560.56
  5. Step 5: Solve for x
    x = 49,285,912,560.56/220,578
  6. Step 6: Final answer
    x = 223,439.84

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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.