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Finding the Fourth Proportional to 321,204.62, 481,657.34 and 143,713.10

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Solution

The fourth proportional to 321,204.62, 481,657.34 and 143,713.10 is: 215,502.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,204.62 : 481,657.34 = 143,713.10 : x
  2. Step 2: Convert to fraction form
    321,204.62/481,657.34 = 143,713.10/x
  3. Step 3: Cross multiply
    321,204.62x = 481,657.34 × 143,713.10
  4. Step 4: Simplify right side
    321,204.62x = 69,220,467,420.15
  5. Step 5: Solve for x
    x = 69,220,467,420.15/321,204.62
  6. Step 6: Final answer
    x = 215,502.72

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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.