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Finding the Fourth Proportional to 271,821.44, 407,654.40 and 84,782.72

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Solution

The fourth proportional to 271,821.44, 407,654.40 and 84,782.72 is: 127,149.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,821.44 : 407,654.40 = 84,782.72 : x
  2. Step 2: Convert to fraction form
    271,821.44/407,654.40 = 84,782.72/x
  3. Step 3: Cross multiply
    271,821.44x = 407,654.40 × 84,782.72
  4. Step 4: Simplify right side
    271,821.44x = 34,562,048,851.97
  5. Step 5: Solve for x
    x = 34,562,048,851.97/271,821.44
  6. Step 6: Final answer
    x = 127,149.83

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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.