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Finding the Fourth Proportional to 329,771.87, 494,656.44 and 140,202.71

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Solution

The fourth proportional to 329,771.87, 494,656.44 and 140,202.71 is: 210,303.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,771.87 : 494,656.44 = 140,202.71 : x
  2. Step 2: Convert to fraction form
    329,771.87/494,656.44 = 140,202.71/x
  3. Step 3: Cross multiply
    329,771.87x = 494,656.44 × 140,202.71
  4. Step 4: Simplify right side
    329,771.87x = 69,352,172,262.87
  5. Step 5: Solve for x
    x = 69,352,172,262.87/329,771.87
  6. Step 6: Final answer
    x = 210,303.48

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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.