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Finding the Fourth Proportional to 409,139.96, 613,424.68 and 181,311.48

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Solution

The fourth proportional to 409,139.96, 613,424.68 and 181,311.48 is: 271,840.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,139.96 : 613,424.68 = 181,311.48 : x
  2. Step 2: Convert to fraction form
    409,139.96/613,424.68 = 181,311.48/x
  3. Step 3: Cross multiply
    409,139.96x = 613,424.68 × 181,311.48
  4. Step 4: Simplify right side
    409,139.96x = 111,220,936,599.33
  5. Step 5: Solve for x
    x = 111,220,936,599.33/409,139.96
  6. Step 6: Final answer
    x = 271,840.81

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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.