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Finding the Fourth Proportional to 257,199.46, 354,927.22 and 142,473.49

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Solution

The fourth proportional to 257,199.46, 354,927.22 and 142,473.49 is: 196,608.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,199.46 : 354,927.22 = 142,473.49 : x
  2. Step 2: Convert to fraction form
    257,199.46/354,927.22 = 142,473.49/x
  3. Step 3: Cross multiply
    257,199.46x = 354,927.22 × 142,473.49
  4. Step 4: Simplify right side
    257,199.46x = 50,567,719,729.40
  5. Step 5: Solve for x
    x = 50,567,719,729.40/257,199.46
  6. Step 6: Final answer
    x = 196,608.97

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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.