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Finding the Fourth Proportional to 414,076.50, 620,745.98 and 161,297.87

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Solution

The fourth proportional to 414,076.50, 620,745.98 and 161,297.87 is: 241,803.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,076.50 : 620,745.98 = 161,297.87 : x
  2. Step 2: Convert to fraction form
    414,076.50/620,745.98 = 161,297.87/x
  3. Step 3: Cross multiply
    414,076.50x = 620,745.98 × 161,297.87
  4. Step 4: Simplify right side
    414,076.50x = 100,125,000,474.84
  5. Step 5: Solve for x
    x = 100,125,000,474.84/414,076.50
  6. Step 6: Final answer
    x = 241,803.15

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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.