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Finding the Fourth Proportional to 321,178.40, 481,654.20 and 110,767.40

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Solution

The fourth proportional to 321,178.40, 481,654.20 and 110,767.40 is: 166,111.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,178.40 : 481,654.20 = 110,767.40 : x
  2. Step 2: Convert to fraction form
    321,178.40/481,654.20 = 110,767.40/x
  3. Step 3: Cross multiply
    321,178.40x = 481,654.20 × 110,767.40
  4. Step 4: Simplify right side
    321,178.40x = 53,351,583,433.08
  5. Step 5: Solve for x
    x = 53,351,583,433.08/321,178.40
  6. Step 6: Final answer
    x = 166,111.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.