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Finding the Fourth Proportional to 327,991.66, 491,565.07 and 159,185.31

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Solution

The fourth proportional to 327,991.66, 491,565.07 and 159,185.31 is: 238,572.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,991.66 : 491,565.07 = 159,185.31 : x
  2. Step 2: Convert to fraction form
    327,991.66/491,565.07 = 159,185.31/x
  3. Step 3: Cross multiply
    327,991.66x = 491,565.07 × 159,185.31
  4. Step 4: Simplify right side
    327,991.66x = 78,249,938,053.12
  5. Step 5: Solve for x
    x = 78,249,938,053.12/327,991.66
  6. Step 6: Final answer
    x = 238,572.95

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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.