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Finding the Fourth Proportional to 271,827.60, 407,741.40 and 84,814.80

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Solution

The fourth proportional to 271,827.60, 407,741.40 and 84,814.80 is: 127,222.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,827.60 : 407,741.40 = 84,814.80 : x
  2. Step 2: Convert to fraction form
    271,827.60/407,741.40 = 84,814.80/x
  3. Step 3: Cross multiply
    271,827.60x = 407,741.40 × 84,814.80
  4. Step 4: Simplify right side
    271,827.60x = 34,582,505,292.72
  5. Step 5: Solve for x
    x = 34,582,505,292.72/271,827.60
  6. Step 6: Final answer
    x = 127,222.20

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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.