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Finding the Fourth Proportional to 238,501.44, 329,093.28 and 137,880

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Solution

The fourth proportional to 238,501.44, 329,093.28 and 137,880 is: 190,252.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,501.44 : 329,093.28 = 137,880 : x
  2. Step 2: Convert to fraction form
    238,501.44/329,093.28 = 137,880/x
  3. Step 3: Cross multiply
    238,501.44x = 329,093.28 × 137,880
  4. Step 4: Simplify right side
    238,501.44x = 45,375,381,446.40
  5. Step 5: Solve for x
    x = 45,375,381,446.40/238,501.44
  6. Step 6: Final answer
    x = 190,252.02

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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.