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Finding the Fourth Proportional to 271,853.42, 407,780.13 and 84,880.94

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Solution

The fourth proportional to 271,853.42, 407,780.13 and 84,880.94 is: 127,321.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,853.42 : 407,780.13 = 84,880.94 : x
  2. Step 2: Convert to fraction form
    271,853.42/407,780.13 = 84,880.94/x
  3. Step 3: Cross multiply
    271,853.42x = 407,780.13 × 84,880.94
  4. Step 4: Simplify right side
    271,853.42x = 34,612,760,747.72
  5. Step 5: Solve for x
    x = 34,612,760,747.72/271,853.42
  6. Step 6: Final answer
    x = 127,321.41

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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.