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Finding the Fourth Proportional to 279,745.44, 419,983.95 and 166,100.64

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Solution

The fourth proportional to 279,745.44, 419,983.95 and 166,100.64 is: 249,368.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,745.44 : 419,983.95 = 166,100.64 : x
  2. Step 2: Convert to fraction form
    279,745.44/419,983.95 = 166,100.64/x
  3. Step 3: Cross multiply
    279,745.44x = 419,983.95 × 166,100.64
  4. Step 4: Simplify right side
    279,745.44x = 69,759,602,884.73
  5. Step 5: Solve for x
    x = 69,759,602,884.73/279,745.44
  6. Step 6: Final answer
    x = 249,368.15

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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.