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Finding the Fourth Proportional to 274,768.18, 412,211.31 and 85,224.58

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Solution

The fourth proportional to 274,768.18, 412,211.31 and 85,224.58 is: 127,855.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,768.18 : 412,211.31 = 85,224.58 : x
  2. Step 2: Convert to fraction form
    274,768.18/412,211.31 = 85,224.58/x
  3. Step 3: Cross multiply
    274,768.18x = 412,211.31 × 85,224.58
  4. Step 4: Simplify right side
    274,768.18x = 35,130,535,766.00
  5. Step 5: Solve for x
    x = 35,130,535,766.00/274,768.18
  6. Step 6: Final answer
    x = 127,855.18

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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.