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Finding the Fourth Proportional to 325,538.60, 488,453.70 and 147,954.20

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Solution

The fourth proportional to 325,538.60, 488,453.70 and 147,954.20 is: 221,997.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,538.60 : 488,453.70 = 147,954.20 : x
  2. Step 2: Convert to fraction form
    325,538.60/488,453.70 = 147,954.20/x
  3. Step 3: Cross multiply
    325,538.60x = 488,453.70 × 147,954.20
  4. Step 4: Simplify right side
    325,538.60x = 72,268,776,420.54
  5. Step 5: Solve for x
    x = 72,268,776,420.54/325,538.60
  6. Step 6: Final answer
    x = 221,997.56

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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.