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Finding the Fourth Proportional to 321,000.56, 481,573.80 and 171,161.84

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Solution

The fourth proportional to 321,000.56, 481,573.80 and 171,161.84 is: 256,781.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,000.56 : 481,573.80 = 171,161.84 : x
  2. Step 2: Convert to fraction form
    321,000.56/481,573.80 = 171,161.84/x
  3. Step 3: Cross multiply
    321,000.56x = 481,573.80 × 171,161.84
  4. Step 4: Simplify right side
    321,000.56x = 82,427,057,703.79
  5. Step 5: Solve for x
    x = 82,427,057,703.79/321,000.56
  6. Step 6: Final answer
    x = 256,781.66

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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.