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Finding the Fourth Proportional to 325,982.42, 488,968.44 and 89,325.11

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Solution

The fourth proportional to 325,982.42, 488,968.44 and 89,325.11 is: 133,986.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,982.42 : 488,968.44 = 89,325.11 : x
  2. Step 2: Convert to fraction form
    325,982.42/488,968.44 = 89,325.11/x
  3. Step 3: Cross multiply
    325,982.42x = 488,968.44 × 89,325.11
  4. Step 4: Simplify right side
    325,982.42x = 43,677,157,021.37
  5. Step 5: Solve for x
    x = 43,677,157,021.37/325,982.42
  6. Step 6: Final answer
    x = 133,986.23

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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.