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Finding the Fourth Proportional to 274,620.54, 411,975.23 and 85,036.34

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Solution

The fourth proportional to 274,620.54, 411,975.23 and 85,036.34 is: 127,568.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,620.54 : 411,975.23 = 85,036.34 : x
  2. Step 2: Convert to fraction form
    274,620.54/411,975.23 = 85,036.34/x
  3. Step 3: Cross multiply
    274,620.54x = 411,975.23 × 85,036.34
  4. Step 4: Simplify right side
    274,620.54x = 35,032,863,244.80
  5. Step 5: Solve for x
    x = 35,032,863,244.80/274,620.54
  6. Step 6: Final answer
    x = 127,568.26

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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.