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Finding the Fourth Proportional to 321,851.64, 444,183.12 and 178,639.32

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Solution

The fourth proportional to 321,851.64, 444,183.12 and 178,639.32 is: 246,537.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,851.64 : 444,183.12 = 178,639.32 : x
  2. Step 2: Convert to fraction form
    321,851.64/444,183.12 = 178,639.32/x
  3. Step 3: Cross multiply
    321,851.64x = 444,183.12 × 178,639.32
  4. Step 4: Simplify right side
    321,851.64x = 79,348,570,512.28
  5. Step 5: Solve for x
    x = 79,348,570,512.28/321,851.64
  6. Step 6: Final answer
    x = 246,537.72

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Why These Related Problems?

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