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Finding the Fourth Proportional to 321,871.32, 444,179.16 and 178,632.54

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Solution

The fourth proportional to 321,871.32, 444,179.16 and 178,632.54 is: 246,511.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,871.32 : 444,179.16 = 178,632.54 : x
  2. Step 2: Convert to fraction form
    321,871.32/444,179.16 = 178,632.54/x
  3. Step 3: Cross multiply
    321,871.32x = 444,179.16 × 178,632.54
  4. Step 4: Simplify right side
    321,871.32x = 79,344,851,565.87
  5. Step 5: Solve for x
    x = 79,344,851,565.87/321,871.32
  6. Step 6: Final answer
    x = 246,511.10

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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.