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Finding the Fourth Proportional to 238,493.96, 329,049.84 and 142,965.80

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Solution

The fourth proportional to 238,493.96, 329,049.84 and 142,965.80 is: 197,249.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,493.96 : 329,049.84 = 142,965.80 : x
  2. Step 2: Convert to fraction form
    238,493.96/329,049.84 = 142,965.80/x
  3. Step 3: Cross multiply
    238,493.96x = 329,049.84 × 142,965.80
  4. Step 4: Simplify right side
    238,493.96x = 47,042,873,615.47
  5. Step 5: Solve for x
    x = 47,042,873,615.47/238,493.96
  6. Step 6: Final answer
    x = 197,249.75

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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.