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Finding the Fourth Proportional to 321,504, 443,676.16 and 180,192

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Solution

The fourth proportional to 321,504, 443,676.16 and 180,192 is: 248,665.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,504 : 443,676.16 = 180,192 : x
  2. Step 2: Convert to fraction form
    321,504/443,676.16 = 180,192/x
  3. Step 3: Cross multiply
    321,504x = 443,676.16 × 180,192
  4. Step 4: Simplify right side
    321,504x = 79,946,894,622.72
  5. Step 5: Solve for x
    x = 79,946,894,622.72/321,504
  6. Step 6: Final answer
    x = 248,665.32

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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.