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Finding the Fourth Proportional to 481,343.82, 664,366.11 and 320,205.66

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Solution

The fourth proportional to 481,343.82, 664,366.11 and 320,205.66 is: 441,958.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,343.82 : 664,366.11 = 320,205.66 : x
  2. Step 2: Convert to fraction form
    481,343.82/664,366.11 = 320,205.66/x
  3. Step 3: Cross multiply
    481,343.82x = 664,366.11 × 320,205.66
  4. Step 4: Simplify right side
    481,343.82x = 212,733,788,734.18
  5. Step 5: Solve for x
    x = 212,733,788,734.18/481,343.82
  6. Step 6: Final answer
    x = 441,958.08

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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.