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Finding the Fourth Proportional to 419,726.40, 629,589.60 and 403,396.80

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Solution

The fourth proportional to 419,726.40, 629,589.60 and 403,396.80 is: 605,095.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,726.40 : 629,589.60 = 403,396.80 : x
  2. Step 2: Convert to fraction form
    419,726.40/629,589.60 = 403,396.80/x
  3. Step 3: Cross multiply
    419,726.40x = 629,589.60 × 403,396.80
  4. Step 4: Simplify right side
    419,726.40x = 253,974,429,953.28
  5. Step 5: Solve for x
    x = 253,974,429,953.28/419,726.40
  6. Step 6: Final answer
    x = 605,095.20

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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.