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Finding the Fourth Proportional to 275,938.70, 412,923.90 and 191,301.80

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Solution

The fourth proportional to 275,938.70, 412,923.90 and 191,301.80 is: 286,270.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,938.70 : 412,923.90 = 191,301.80 : x
  2. Step 2: Convert to fraction form
    275,938.70/412,923.90 = 191,301.80/x
  3. Step 3: Cross multiply
    275,938.70x = 412,923.90 × 191,301.80
  4. Step 4: Simplify right side
    275,938.70x = 78,993,085,333.02
  5. Step 5: Solve for x
    x = 78,993,085,333.02/275,938.70
  6. Step 6: Final answer
    x = 286,270.41

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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.