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Finding the Fourth Proportional to 321,658.26, 481,878.34 and 214,719.73

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Solution

The fourth proportional to 321,658.26, 481,878.34 and 214,719.73 is: 321,673.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,658.26 : 481,878.34 = 214,719.73 : x
  2. Step 2: Convert to fraction form
    321,658.26/481,878.34 = 214,719.73/x
  3. Step 3: Cross multiply
    321,658.26x = 481,878.34 × 214,719.73
  4. Step 4: Simplify right side
    321,658.26x = 103,468,785,316.15
  5. Step 5: Solve for x
    x = 103,468,785,316.15/321,658.26
  6. Step 6: Final answer
    x = 321,673.03

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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.