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Finding the Fourth Proportional to 257,207.44, 354,946.22 and 142,493.54

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Solution

The fourth proportional to 257,207.44, 354,946.22 and 142,493.54 is: 196,641.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,207.44 : 354,946.22 = 142,493.54 : x
  2. Step 2: Convert to fraction form
    257,207.44/354,946.22 = 142,493.54/x
  3. Step 3: Cross multiply
    257,207.44x = 354,946.22 × 142,493.54
  4. Step 4: Simplify right side
    257,207.44x = 50,577,543,397.42
  5. Step 5: Solve for x
    x = 50,577,543,397.42/257,207.44
  6. Step 6: Final answer
    x = 196,641.06

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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.