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Finding the Fourth Proportional to 318,866.73, 478,327.62 and 82,207.41

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Solution

The fourth proportional to 318,866.73, 478,327.62 and 82,207.41 is: 123,318.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,866.73 : 478,327.62 = 82,207.41 : x
  2. Step 2: Convert to fraction form
    318,866.73/478,327.62 = 82,207.41/x
  3. Step 3: Cross multiply
    318,866.73x = 478,327.62 × 82,207.41
  4. Step 4: Simplify right side
    318,866.73x = 39,322,074,771.66
  5. Step 5: Solve for x
    x = 39,322,074,771.66/318,866.73
  6. Step 6: Final answer
    x = 123,318.21

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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.