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Finding the Fourth Proportional to 419,218.72, 628,407.84 and 194,736.88

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Solution

The fourth proportional to 419,218.72, 628,407.84 and 194,736.88 is: 291,910.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,218.72 : 628,407.84 = 194,736.88 : x
  2. Step 2: Convert to fraction form
    419,218.72/628,407.84 = 194,736.88/x
  3. Step 3: Cross multiply
    419,218.72x = 628,407.84 × 194,736.88
  4. Step 4: Simplify right side
    419,218.72x = 122,374,182,129.14
  5. Step 5: Solve for x
    x = 122,374,182,129.14/419,218.72
  6. Step 6: Final answer
    x = 291,910.11

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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.