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Finding the Fourth Proportional to 274,433.80, 411,708.30 and 84,878.60

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Solution

The fourth proportional to 274,433.80, 411,708.30 and 84,878.60 is: 127,335.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,433.80 : 411,708.30 = 84,878.60 : x
  2. Step 2: Convert to fraction form
    274,433.80/411,708.30 = 84,878.60/x
  3. Step 3: Cross multiply
    274,433.80x = 411,708.30 × 84,878.60
  4. Step 4: Simplify right side
    274,433.80x = 34,945,224,112.38
  5. Step 5: Solve for x
    x = 34,945,224,112.38/274,433.80
  6. Step 6: Final answer
    x = 127,335.71

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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.