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Finding the Fourth Proportional to 321,103.32, 443,122.62 and 177,872.64

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Solution

The fourth proportional to 321,103.32, 443,122.62 and 177,872.64 is: 245,464.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,103.32 : 443,122.62 = 177,872.64 : x
  2. Step 2: Convert to fraction form
    321,103.32/443,122.62 = 177,872.64/x
  3. Step 3: Cross multiply
    321,103.32x = 443,122.62 × 177,872.64
  4. Step 4: Simplify right side
    321,103.32x = 78,819,390,263.12
  5. Step 5: Solve for x
    x = 78,819,390,263.12/321,103.32
  6. Step 6: Final answer
    x = 245,464.26

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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.