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Finding the Fourth Proportional to 412,063.72, 618,188.22 and 222,519.88

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Solution

The fourth proportional to 412,063.72, 618,188.22 and 222,519.88 is: 333,829.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,063.72 : 618,188.22 = 222,519.88 : x
  2. Step 2: Convert to fraction form
    412,063.72/618,188.22 = 222,519.88/x
  3. Step 3: Cross multiply
    412,063.72x = 618,188.22 × 222,519.88
  4. Step 4: Simplify right side
    412,063.72x = 137,559,168,531.81
  5. Step 5: Solve for x
    x = 137,559,168,531.81/412,063.72
  6. Step 6: Final answer
    x = 333,829.85

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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.