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Finding the Fourth Proportional to 275,951.70, 412,943.40 and 191,314.80

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Solution

The fourth proportional to 275,951.70, 412,943.40 and 191,314.80 is: 286,289.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,951.70 : 412,943.40 = 191,314.80 : x
  2. Step 2: Convert to fraction form
    275,951.70/412,943.40 = 191,314.80/x
  3. Step 3: Cross multiply
    275,951.70x = 412,943.40 × 191,314.80
  4. Step 4: Simplify right side
    275,951.70x = 79,002,183,982.32
  5. Step 5: Solve for x
    x = 79,002,183,982.32/275,951.70
  6. Step 6: Final answer
    x = 286,289.90

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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.