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Finding the Fourth Proportional to 274,993.20, 412,817.85 and 155,145.60

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Solution

The fourth proportional to 274,993.20, 412,817.85 and 155,145.60 is: 232,903.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,993.20 : 412,817.85 = 155,145.60 : x
  2. Step 2: Convert to fraction form
    274,993.20/412,817.85 = 155,145.60/x
  3. Step 3: Cross multiply
    274,993.20x = 412,817.85 × 155,145.60
  4. Step 4: Simplify right side
    274,993.20x = 64,046,873,028.96
  5. Step 5: Solve for x
    x = 64,046,873,028.96/274,993.20
  6. Step 6: Final answer
    x = 232,903.48

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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.