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Finding the Fourth Proportional to 257,353, 355,161.30 and 142,629.26

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Solution

The fourth proportional to 257,353, 355,161.30 and 142,629.26 is: 196,836.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,353 : 355,161.30 = 142,629.26 : x
  2. Step 2: Convert to fraction form
    257,353/355,161.30 = 142,629.26/x
  3. Step 3: Cross multiply
    257,353x = 355,161.30 × 142,629.26
  4. Step 4: Simplify right side
    257,353x = 50,656,393,399.64
  5. Step 5: Solve for x
    x = 50,656,393,399.64/257,353
  6. Step 6: Final answer
    x = 196,836.23

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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.