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Finding the Fourth Proportional to 271,480.54, 405,016.46 and 256,783.90

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Solution

The fourth proportional to 271,480.54, 405,016.46 and 256,783.90 is: 383,090.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,480.54 : 405,016.46 = 256,783.90 : x
  2. Step 2: Convert to fraction form
    271,480.54/405,016.46 = 256,783.90/x
  3. Step 3: Cross multiply
    271,480.54x = 405,016.46 × 256,783.90
  4. Step 4: Simplify right side
    271,480.54x = 104,001,706,162.99
  5. Step 5: Solve for x
    x = 104,001,706,162.99/271,480.54
  6. Step 6: Final answer
    x = 383,090.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.