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Finding the Fourth Proportional to 274,828.80, 411,436.80 and 205,017.60

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Solution

The fourth proportional to 274,828.80, 411,436.80 and 205,017.60 is: 306,924.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,828.80 : 411,436.80 = 205,017.60 : x
  2. Step 2: Convert to fraction form
    274,828.80/411,436.80 = 205,017.60/x
  3. Step 3: Cross multiply
    274,828.80x = 411,436.80 × 205,017.60
  4. Step 4: Simplify right side
    274,828.80x = 84,351,785,287.68
  5. Step 5: Solve for x
    x = 84,351,785,287.68/274,828.80
  6. Step 6: Final answer
    x = 306,924.84

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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.