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Finding the Fourth Proportional to 271,449.80, 407,045.07 and 159,164.21

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Solution

The fourth proportional to 271,449.80, 407,045.07 and 159,164.21 is: 238,670.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,449.80 : 407,045.07 = 159,164.21 : x
  2. Step 2: Convert to fraction form
    271,449.80/407,045.07 = 159,164.21/x
  3. Step 3: Cross multiply
    271,449.80x = 407,045.07 × 159,164.21
  4. Step 4: Simplify right side
    271,449.80x = 64,787,004,965.72
  5. Step 5: Solve for x
    x = 64,787,004,965.72/271,449.80
  6. Step 6: Final answer
    x = 238,670.30

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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.