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Finding the Fourth Proportional to 321,760.32, 444,029.31 and 178,520.03

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Solution

The fourth proportional to 321,760.32, 444,029.31 and 178,520.03 is: 246,357.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,760.32 : 444,029.31 = 178,520.03 : x
  2. Step 2: Convert to fraction form
    321,760.32/444,029.31 = 178,520.03/x
  3. Step 3: Cross multiply
    321,760.32x = 444,029.31 × 178,520.03
  4. Step 4: Simplify right side
    321,760.32x = 79,268,124,191.38
  5. Step 5: Solve for x
    x = 79,268,124,191.38/321,760.32
  6. Step 6: Final answer
    x = 246,357.67

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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.