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Finding the Fourth Proportional to 349,450, 524,175 and 100,132

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Solution

The fourth proportional to 349,450, 524,175 and 100,132 is: 150,198

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,450 : 524,175 = 100,132 : x
  2. Step 2: Convert to fraction form
    349,450/524,175 = 100,132/x
  3. Step 3: Cross multiply
    349,450x = 524,175 × 100,132
  4. Step 4: Simplify right side
    349,450x = 52,486,691,100
  5. Step 5: Solve for x
    x = 52,486,691,100/349,450
  6. Step 6: Final answer
    x = 150,198

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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.