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Finding the Fourth Proportional to 412,086.12, 617,630.91 and 212,297.51

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Solution

The fourth proportional to 412,086.12, 617,630.91 and 212,297.51 is: 318,189.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,086.12 : 617,630.91 = 212,297.51 : x
  2. Step 2: Convert to fraction form
    412,086.12/617,630.91 = 212,297.51/x
  3. Step 3: Cross multiply
    412,086.12x = 617,630.91 × 212,297.51
  4. Step 4: Simplify right side
    412,086.12x = 131,121,505,040.00
  5. Step 5: Solve for x
    x = 131,121,505,040.00/412,086.12
  6. Step 6: Final answer
    x = 318,189.57

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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.