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Finding the Fourth Proportional to 257,418.24, 355,422.24 and 166,905.60

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Solution

The fourth proportional to 257,418.24, 355,422.24 and 166,905.60 is: 230,449.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,418.24 : 355,422.24 = 166,905.60 : x
  2. Step 2: Convert to fraction form
    257,418.24/355,422.24 = 166,905.60/x
  3. Step 3: Cross multiply
    257,418.24x = 355,422.24 × 166,905.60
  4. Step 4: Simplify right side
    257,418.24x = 59,321,962,220.54
  5. Step 5: Solve for x
    x = 59,321,962,220.54/257,418.24
  6. Step 6: Final answer
    x = 230,449.72

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1.5x scale

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.