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Finding the Fourth Proportional to 257,198.11, 354,929.54 and 142,476.41

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Solution

The fourth proportional to 257,198.11, 354,929.54 and 142,476.41 is: 196,615.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,198.11 : 354,929.54 = 142,476.41 : x
  2. Step 2: Convert to fraction form
    257,198.11/354,929.54 = 142,476.41/x
  3. Step 3: Cross multiply
    257,198.11x = 354,929.54 × 142,476.41
  4. Step 4: Simplify right side
    257,198.11x = 50,569,086,662.15
  5. Step 5: Solve for x
    x = 50,569,086,662.15/257,198.11
  6. Step 6: Final answer
    x = 196,615.31

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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.