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Finding the Fourth Proportional to 321,186.72, 481,655.46 and 171,345.22

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Solution

The fourth proportional to 321,186.72, 481,655.46 and 171,345.22 is: 256,951.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,186.72 : 481,655.46 = 171,345.22 : x
  2. Step 2: Convert to fraction form
    321,186.72/481,655.46 = 171,345.22/x
  3. Step 3: Cross multiply
    321,186.72x = 481,655.46 × 171,345.22
  4. Step 4: Simplify right side
    321,186.72x = 82,529,360,757.90
  5. Step 5: Solve for x
    x = 82,529,360,757.90/321,186.72
  6. Step 6: Final answer
    x = 256,951.35

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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.