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Finding the Fourth Proportional to 325,425.48, 488,185.74 and 100,806

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Solution

The fourth proportional to 325,425.48, 488,185.74 and 100,806 is: 151,223.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,425.48 : 488,185.74 = 100,806 : x
  2. Step 2: Convert to fraction form
    325,425.48/488,185.74 = 100,806/x
  3. Step 3: Cross multiply
    325,425.48x = 488,185.74 × 100,806
  4. Step 4: Simplify right side
    325,425.48x = 49,212,051,706.44
  5. Step 5: Solve for x
    x = 49,212,051,706.44/325,425.48
  6. Step 6: Final answer
    x = 151,223.72

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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.