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Finding the Fourth Proportional to 271,496.60, 407,439.30 and 113,838.20

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Solution

The fourth proportional to 271,496.60, 407,439.30 and 113,838.20 is: 170,838.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,496.60 : 407,439.30 = 113,838.20 : x
  2. Step 2: Convert to fraction form
    271,496.60/407,439.30 = 113,838.20/x
  3. Step 3: Cross multiply
    271,496.60x = 407,439.30 × 113,838.20
  4. Step 4: Simplify right side
    271,496.60x = 46,382,156,521.26
  5. Step 5: Solve for x
    x = 46,382,156,521.26/271,496.60
  6. Step 6: Final answer
    x = 170,838.81

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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.