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Finding the Fourth Proportional to 321,688.40, 443,951.09 and 178,464.20

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Solution

The fourth proportional to 321,688.40, 443,951.09 and 178,464.20 is: 246,292.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,688.40 : 443,951.09 = 178,464.20 : x
  2. Step 2: Convert to fraction form
    321,688.40/443,951.09 = 178,464.20/x
  3. Step 3: Cross multiply
    321,688.40x = 443,951.09 × 178,464.20
  4. Step 4: Simplify right side
    321,688.40x = 79,229,373,003.90
  5. Step 5: Solve for x
    x = 79,229,373,003.90/321,688.40
  6. Step 6: Final answer
    x = 246,292.29

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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.