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Finding the Fourth Proportional to 271,785.36, 407,678.04 and 84,811.44

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Solution

The fourth proportional to 271,785.36, 407,678.04 and 84,811.44 is: 127,217.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,785.36 : 407,678.04 = 84,811.44 : x
  2. Step 2: Convert to fraction form
    271,785.36/407,678.04 = 84,811.44/x
  3. Step 3: Cross multiply
    271,785.36x = 407,678.04 × 84,811.44
  4. Step 4: Simplify right side
    271,785.36x = 34,575,761,628.78
  5. Step 5: Solve for x
    x = 34,575,761,628.78/271,785.36
  6. Step 6: Final answer
    x = 127,217.16

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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.