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Finding the Fourth Proportional to 329,137.21, 493,670.40 and 223,201.15

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Solution

The fourth proportional to 329,137.21, 493,670.40 and 223,201.15 is: 334,777.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,137.21 : 493,670.40 = 223,201.15 : x
  2. Step 2: Convert to fraction form
    329,137.21/493,670.40 = 223,201.15/x
  3. Step 3: Cross multiply
    329,137.21x = 493,670.40 × 223,201.15
  4. Step 4: Simplify right side
    329,137.21x = 110,187,801,000.96
  5. Step 5: Solve for x
    x = 110,187,801,000.96/329,137.21
  6. Step 6: Final answer
    x = 334,777.71

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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.