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Finding the Fourth Proportional to 257,245, 354,998.22 and 144,067.78

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Solution

The fourth proportional to 257,245, 354,998.22 and 144,067.78 is: 198,813.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,245 : 354,998.22 = 144,067.78 : x
  2. Step 2: Convert to fraction form
    257,245/354,998.22 = 144,067.78/x
  3. Step 3: Cross multiply
    257,245x = 354,998.22 × 144,067.78
  4. Step 4: Simplify right side
    257,245x = 51,143,805,459.35
  5. Step 5: Solve for x
    x = 51,143,805,459.35/257,245
  6. Step 6: Final answer
    x = 198,813.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.