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Finding the Fourth Proportional to 325,425, 488,146.20 and 103,809

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Solution

The fourth proportional to 325,425, 488,146.20 and 103,809 is: 155,716.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,425 : 488,146.20 = 103,809 : x
  2. Step 2: Convert to fraction form
    325,425/488,146.20 = 103,809/x
  3. Step 3: Cross multiply
    325,425x = 488,146.20 × 103,809
  4. Step 4: Simplify right side
    325,425x = 50,673,968,875.80
  5. Step 5: Solve for x
    x = 50,673,968,875.80/325,425
  6. Step 6: Final answer
    x = 155,716.28

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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.