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Finding the Fourth Proportional to 254,910.40, 382,365.60 and 216,856.60

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Solution

The fourth proportional to 254,910.40, 382,365.60 and 216,856.60 is: 325,284.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,910.40 : 382,365.60 = 216,856.60 : x
  2. Step 2: Convert to fraction form
    254,910.40/382,365.60 = 216,856.60/x
  3. Step 3: Cross multiply
    254,910.40x = 382,365.60 × 216,856.60
  4. Step 4: Simplify right side
    254,910.40x = 82,918,503,972.96
  5. Step 5: Solve for x
    x = 82,918,503,972.96/254,910.40
  6. Step 6: Final answer
    x = 325,284.90

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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.