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Finding the Fourth Proportional to 419,219.72, 628,409.34 and 194,737.88

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Solution

The fourth proportional to 419,219.72, 628,409.34 and 194,737.88 is: 291,911.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,219.72 : 628,409.34 = 194,737.88 : x
  2. Step 2: Convert to fraction form
    419,219.72/628,409.34 = 194,737.88/x
  3. Step 3: Cross multiply
    419,219.72x = 628,409.34 × 194,737.88
  4. Step 4: Simplify right side
    419,219.72x = 122,375,102,643.80
  5. Step 5: Solve for x
    x = 122,375,102,643.80/419,219.72
  6. Step 6: Final answer
    x = 291,911.61

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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.