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Finding the Fourth Proportional to 238,803.28, 329,438 and 143,144

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Solution

The fourth proportional to 238,803.28, 329,438 and 143,144 is: 197,472.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,803.28 : 329,438 = 143,144 : x
  2. Step 2: Convert to fraction form
    238,803.28/329,438 = 143,144/x
  3. Step 3: Cross multiply
    238,803.28x = 329,438 × 143,144
  4. Step 4: Simplify right side
    238,803.28x = 47,157,073,072
  5. Step 5: Solve for x
    x = 47,157,073,072/238,803.28
  6. Step 6: Final answer
    x = 197,472.47

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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.