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Finding the Fourth Proportional to 419,820.40, 629,730.60 and 336,876.40

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Solution

The fourth proportional to 419,820.40, 629,730.60 and 336,876.40 is: 505,314.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,820.40 : 629,730.60 = 336,876.40 : x
  2. Step 2: Convert to fraction form
    419,820.40/629,730.60 = 336,876.40/x
  3. Step 3: Cross multiply
    419,820.40x = 629,730.60 × 336,876.40
  4. Step 4: Simplify right side
    419,820.40x = 212,141,377,497.84
  5. Step 5: Solve for x
    x = 212,141,377,497.84/419,820.40
  6. Step 6: Final answer
    x = 505,314.60

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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.