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Finding the Fourth Proportional to 311,244.29, 429,511.29 and 190,376.70

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Solution

The fourth proportional to 311,244.29, 429,511.29 and 190,376.70 is: 262,716.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,244.29 : 429,511.29 = 190,376.70 : x
  2. Step 2: Convert to fraction form
    311,244.29/429,511.29 = 190,376.70/x
  3. Step 3: Cross multiply
    311,244.29x = 429,511.29 × 190,376.70
  4. Step 4: Simplify right side
    311,244.29x = 81,768,942,002.94
  5. Step 5: Solve for x
    x = 81,768,942,002.94/311,244.29
  6. Step 6: Final answer
    x = 262,716.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.