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Finding the Fourth Proportional to 257,200.46, 354,928.60 and 142,474.49

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Solution

The fourth proportional to 257,200.46, 354,928.60 and 142,474.49 is: 196,610.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,200.46 : 354,928.60 = 142,474.49 : x
  2. Step 2: Convert to fraction form
    257,200.46/354,928.60 = 142,474.49/x
  3. Step 3: Cross multiply
    257,200.46x = 354,928.60 × 142,474.49
  4. Step 4: Simplify right side
    257,200.46x = 50,568,271,271.41
  5. Step 5: Solve for x
    x = 50,568,271,271.41/257,200.46
  6. Step 6: Final answer
    x = 196,610.35

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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.