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Finding the Fourth Proportional to 329,786.56, 494,681.28 and 140,198.08

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Solution

The fourth proportional to 329,786.56, 494,681.28 and 140,198.08 is: 210,297.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,786.56 : 494,681.28 = 140,198.08 : x
  2. Step 2: Convert to fraction form
    329,786.56/494,681.28 = 140,198.08/x
  3. Step 3: Cross multiply
    329,786.56x = 494,681.28 × 140,198.08
  4. Step 4: Simplify right side
    329,786.56x = 69,353,365,667.94
  5. Step 5: Solve for x
    x = 69,353,365,667.94/329,786.56
  6. Step 6: Final answer
    x = 210,297.73

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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.