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Finding the Fourth Proportional to 490,704.06, 677,138.06 and 275,877.48

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Solution

The fourth proportional to 490,704.06, 677,138.06 and 275,877.48 is: 380,692.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,704.06 : 677,138.06 = 275,877.48 : x
  2. Step 2: Convert to fraction form
    490,704.06/677,138.06 = 275,877.48/x
  3. Step 3: Cross multiply
    490,704.06x = 677,138.06 × 275,877.48
  4. Step 4: Simplify right side
    490,704.06x = 186,807,141,604.89
  5. Step 5: Solve for x
    x = 186,807,141,604.89/490,704.06
  6. Step 6: Final answer
    x = 380,692.06

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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.