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Finding the Fourth Proportional to 214,692.47, 321,540.39 and 207,219.30

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Solution

The fourth proportional to 214,692.47, 321,540.39 and 207,219.30 is: 310,347.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,692.47 : 321,540.39 = 207,219.30 : x
  2. Step 2: Convert to fraction form
    214,692.47/321,540.39 = 207,219.30/x
  3. Step 3: Cross multiply
    214,692.47x = 321,540.39 × 207,219.30
  4. Step 4: Simplify right side
    214,692.47x = 66,629,374,537.53
  5. Step 5: Solve for x
    x = 66,629,374,537.53/214,692.47
  6. Step 6: Final answer
    x = 310,347.98

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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.