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Finding the Fourth Proportional to 419,891.40, 629,837.10 and 251,929.80

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Solution

The fourth proportional to 419,891.40, 629,837.10 and 251,929.80 is: 377,894.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,891.40 : 629,837.10 = 251,929.80 : x
  2. Step 2: Convert to fraction form
    419,891.40/629,837.10 = 251,929.80/x
  3. Step 3: Cross multiply
    419,891.40x = 629,837.10 × 251,929.80
  4. Step 4: Simplify right side
    419,891.40x = 158,674,734,635.58
  5. Step 5: Solve for x
    x = 158,674,734,635.58/419,891.40
  6. Step 6: Final answer
    x = 377,894.70

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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.