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Finding the Fourth Proportional to 260,414.97, 390,653.72 and 91,900.50

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Solution

The fourth proportional to 260,414.97, 390,653.72 and 91,900.50 is: 137,861.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,414.97 : 390,653.72 = 91,900.50 : x
  2. Step 2: Convert to fraction form
    260,414.97/390,653.72 = 91,900.50/x
  3. Step 3: Cross multiply
    260,414.97x = 390,653.72 × 91,900.50
  4. Step 4: Simplify right side
    260,414.97x = 35,901,271,735.36
  5. Step 5: Solve for x
    x = 35,901,271,735.36/260,414.97
  6. Step 6: Final answer
    x = 137,861.78

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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.