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Finding the Fourth Proportional to 271,504, 407,266.98 and 129,276.10

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Solution

The fourth proportional to 271,504, 407,266.98 and 129,276.10 is: 193,919.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,504 : 407,266.98 = 129,276.10 : x
  2. Step 2: Convert to fraction form
    271,504/407,266.98 = 129,276.10/x
  3. Step 3: Cross multiply
    271,504x = 407,266.98 × 129,276.10
  4. Step 4: Simplify right side
    271,504x = 52,649,886,833.18
  5. Step 5: Solve for x
    x = 52,649,886,833.18/271,504
  6. Step 6: Final answer
    x = 193,919.38

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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.