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Finding the Fourth Proportional to 397,506.69, 548,738.35 and 261,611.98

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Solution

The fourth proportional to 397,506.69, 548,738.35 and 261,611.98 is: 361,142.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,506.69 : 548,738.35 = 261,611.98 : x
  2. Step 2: Convert to fraction form
    397,506.69/548,738.35 = 261,611.98/x
  3. Step 3: Cross multiply
    397,506.69x = 548,738.35 × 261,611.98
  4. Step 4: Simplify right side
    397,506.69x = 143,556,524,219.56
  5. Step 5: Solve for x
    x = 143,556,524,219.56/397,506.69
  6. Step 6: Final answer
    x = 361,142.41

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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.