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Finding the Fourth Proportional to 257,405.94, 355,202.28 and 142,683.48

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Solution

The fourth proportional to 257,405.94, 355,202.28 and 142,683.48 is: 196,893.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,405.94 : 355,202.28 = 142,683.48 : x
  2. Step 2: Convert to fraction form
    257,405.94/355,202.28 = 142,683.48/x
  3. Step 3: Cross multiply
    257,405.94x = 355,202.28 × 142,683.48
  4. Step 4: Simplify right side
    257,405.94x = 50,681,497,414.33
  5. Step 5: Solve for x
    x = 50,681,497,414.33/257,405.94
  6. Step 6: Final answer
    x = 196,893.27

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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.