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Finding the Fourth Proportional to 271,998.40, 407,716.80 and 122,310.40

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Solution

The fourth proportional to 271,998.40, 407,716.80 and 122,310.40 is: 183,339.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,998.40 : 407,716.80 = 122,310.40 : x
  2. Step 2: Convert to fraction form
    271,998.40/407,716.80 = 122,310.40/x
  3. Step 3: Cross multiply
    271,998.40x = 407,716.80 × 122,310.40
  4. Step 4: Simplify right side
    271,998.40x = 49,868,004,894.72
  5. Step 5: Solve for x
    x = 49,868,004,894.72/271,998.40
  6. Step 6: Final answer
    x = 183,339.33

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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.