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Finding the Fourth Proportional to 419,997.90, 629,940.15 and 167,464.20

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Solution

The fourth proportional to 419,997.90, 629,940.15 and 167,464.20 is: 251,173.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,997.90 : 629,940.15 = 167,464.20 : x
  2. Step 2: Convert to fraction form
    419,997.90/629,940.15 = 167,464.20/x
  3. Step 3: Cross multiply
    419,997.90x = 629,940.15 × 167,464.20
  4. Step 4: Simplify right side
    419,997.90x = 105,492,423,267.63
  5. Step 5: Solve for x
    x = 105,492,423,267.63/419,997.90
  6. Step 6: Final answer
    x = 251,173.69

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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.