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Finding the Fourth Proportional to 327,855.94, 491,920.06 and 156,991.70

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Solution

The fourth proportional to 327,855.94, 491,920.06 and 156,991.70 is: 235,552.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,855.94 : 491,920.06 = 156,991.70 : x
  2. Step 2: Convert to fraction form
    327,855.94/491,920.06 = 156,991.70/x
  3. Step 3: Cross multiply
    327,855.94x = 491,920.06 × 156,991.70
  4. Step 4: Simplify right side
    327,855.94x = 77,227,366,483.50
  5. Step 5: Solve for x
    x = 77,227,366,483.50/327,855.94
  6. Step 6: Final answer
    x = 235,552.74

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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.