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Finding the Fourth Proportional to 419,748.90, 629,623.35 and 403,419.30

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Solution

The fourth proportional to 419,748.90, 629,623.35 and 403,419.30 is: 605,128.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,748.90 : 629,623.35 = 403,419.30 : x
  2. Step 2: Convert to fraction form
    419,748.90/629,623.35 = 403,419.30/x
  3. Step 3: Cross multiply
    419,748.90x = 629,623.35 × 403,419.30
  4. Step 4: Simplify right side
    419,748.90x = 254,002,211,120.66
  5. Step 5: Solve for x
    x = 254,002,211,120.66/419,748.90
  6. Step 6: Final answer
    x = 605,128.95

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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.