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Finding the Fourth Proportional to 419,164.96, 628,138.32 and 194,594.08

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Solution

The fourth proportional to 419,164.96, 628,138.32 and 194,594.08 is: 291,608.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,164.96 : 628,138.32 = 194,594.08 : x
  2. Step 2: Convert to fraction form
    419,164.96/628,138.32 = 194,594.08/x
  3. Step 3: Cross multiply
    419,164.96x = 628,138.32 × 194,594.08
  4. Step 4: Simplify right side
    419,164.96x = 122,231,998,493.15
  5. Step 5: Solve for x
    x = 122,231,998,493.15/419,164.96
  6. Step 6: Final answer
    x = 291,608.34

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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.