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Finding the Fourth Proportional to 13,983,284.82, 20,978,056.40 and 4,268,761.23

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Solution

The fourth proportional to 13,983,284.82, 20,978,056.40 and 4,268,761.23 is: 6,404,097.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,983,284.82 : 20,978,056.40 = 4,268,761.23 : x
  2. Step 2: Convert to fraction form
    13,983,284.82/20,978,056.40 = 4,268,761.23/x
  3. Step 3: Cross multiply
    13,983,284.82x = 20,978,056.40 × 4,268,761.23
  4. Step 4: Simplify right side
    13,983,284.82x = 89,550,313,819,729.58
  5. Step 5: Solve for x
    x = 89,550,313,819,729.58/13,983,284.82
  6. Step 6: Final answer
    x = 6,404,097.10

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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.