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Finding the Fourth Proportional to 325,534.40, 488,301.60 and 213,924.50

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Solution

The fourth proportional to 325,534.40, 488,301.60 and 213,924.50 is: 320,886.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,534.40 : 488,301.60 = 213,924.50 : x
  2. Step 2: Convert to fraction form
    325,534.40/488,301.60 = 213,924.50/x
  3. Step 3: Cross multiply
    325,534.40x = 488,301.60 × 213,924.50
  4. Step 4: Simplify right side
    325,534.40x = 104,459,675,629.20
  5. Step 5: Solve for x
    x = 104,459,675,629.20/325,534.40
  6. Step 6: Final answer
    x = 320,886.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.