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Finding the Fourth Proportional to 419,740.90, 629,611.35 and 403,411.30

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Solution

The fourth proportional to 419,740.90, 629,611.35 and 403,411.30 is: 605,116.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,740.90 : 629,611.35 = 403,411.30 : x
  2. Step 2: Convert to fraction form
    419,740.90/629,611.35 = 403,411.30/x
  3. Step 3: Cross multiply
    419,740.90x = 629,611.35 × 403,411.30
  4. Step 4: Simplify right side
    419,740.90x = 253,992,333,198.26
  5. Step 5: Solve for x
    x = 253,992,333,198.26/419,740.90
  6. Step 6: Final answer
    x = 605,116.95

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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.