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Finding the Fourth Proportional to 321,608.84, 443,847.44 and 178,415

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Solution

The fourth proportional to 321,608.84, 443,847.44 and 178,415 is: 246,227.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,608.84 : 443,847.44 = 178,415 : x
  2. Step 2: Convert to fraction form
    321,608.84/443,847.44 = 178,415/x
  3. Step 3: Cross multiply
    321,608.84x = 443,847.44 × 178,415
  4. Step 4: Simplify right side
    321,608.84x = 79,189,041,007.60
  5. Step 5: Solve for x
    x = 79,189,041,007.60/321,608.84
  6. Step 6: Final answer
    x = 246,227.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.