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Finding the Fourth Proportional to 414,115.64, 621,505.66 and 214,493.11

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Solution

The fourth proportional to 414,115.64, 621,505.66 and 214,493.11 is: 321,911.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,115.64 : 621,505.66 = 214,493.11 : x
  2. Step 2: Convert to fraction form
    414,115.64/621,505.66 = 214,493.11/x
  3. Step 3: Cross multiply
    414,115.64x = 621,505.66 × 214,493.11
  4. Step 4: Simplify right side
    414,115.64x = 133,308,683,704.15
  5. Step 5: Solve for x
    x = 133,308,683,704.15/414,115.64
  6. Step 6: Final answer
    x = 321,911.73

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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.