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Finding the Fourth Proportional to 330,575.50, 456,194.19 and 196,439.50

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Solution

The fourth proportional to 330,575.50, 456,194.19 and 196,439.50 is: 271,086.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,575.50 : 456,194.19 = 196,439.50 : x
  2. Step 2: Convert to fraction form
    330,575.50/456,194.19 = 196,439.50/x
  3. Step 3: Cross multiply
    330,575.50x = 456,194.19 × 196,439.50
  4. Step 4: Simplify right side
    330,575.50x = 89,614,558,586.51
  5. Step 5: Solve for x
    x = 89,614,558,586.51/330,575.50
  6. Step 6: Final answer
    x = 271,086.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.