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Finding the Fourth Proportional to 414,467.60, 620,887.90 and 214,918.44

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Solution

The fourth proportional to 414,467.60, 620,887.90 and 214,918.44 is: 321,955.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,467.60 : 620,887.90 = 214,918.44 : x
  2. Step 2: Convert to fraction form
    414,467.60/620,887.90 = 214,918.44/x
  3. Step 3: Cross multiply
    414,467.60x = 620,887.90 × 214,918.44
  4. Step 4: Simplify right side
    414,467.60x = 133,440,258,882.88
  5. Step 5: Solve for x
    x = 133,440,258,882.88/414,467.60
  6. Step 6: Final answer
    x = 321,955.83

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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.