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Finding the Fourth Proportional to 321,630.80, 481,837.23 and 214,692.30

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Solution

The fourth proportional to 321,630.80, 481,837.23 and 214,692.30 is: 321,631.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,630.80 : 481,837.23 = 214,692.30 : x
  2. Step 2: Convert to fraction form
    321,630.80/481,837.23 = 214,692.30/x
  3. Step 3: Cross multiply
    321,630.80x = 481,837.23 × 214,692.30
  4. Step 4: Simplify right side
    321,630.80x = 103,446,743,134.33
  5. Step 5: Solve for x
    x = 103,446,743,134.33/321,630.80
  6. Step 6: Final answer
    x = 321,631.96

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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.