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Finding the Fourth Proportional to 329,942.64, 494,213.52 and 223,392

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Solution

The fourth proportional to 329,942.64, 494,213.52 and 223,392 is: 334,613.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,942.64 : 494,213.52 = 223,392 : x
  2. Step 2: Convert to fraction form
    329,942.64/494,213.52 = 223,392/x
  3. Step 3: Cross multiply
    329,942.64x = 494,213.52 × 223,392
  4. Step 4: Simplify right side
    329,942.64x = 110,403,346,659.84
  5. Step 5: Solve for x
    x = 110,403,346,659.84/329,942.64
  6. Step 6: Final answer
    x = 334,613.76

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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.