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Finding the Fourth Proportional to 1,149,138, 1,723,707 and 361,170

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Solution

The fourth proportional to 1,149,138, 1,723,707 and 361,170 is: 541,755

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149,138 : 1,723,707 = 361,170 : x
  2. Step 2: Convert to fraction form
    1,149,138/1,723,707 = 361,170/x
  3. Step 3: Cross multiply
    1,149,138x = 1,723,707 × 361,170
  4. Step 4: Simplify right side
    1,149,138x = 622,551,257,190
  5. Step 5: Solve for x
    x = 622,551,257,190/1,149,138
  6. Step 6: Final answer
    x = 541,755

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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.