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Finding the Fourth Proportional to 238,758.68, 358,286.25 and 138,963.44

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Solution

The fourth proportional to 238,758.68, 358,286.25 and 138,963.44 is: 208,531.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,758.68 : 358,286.25 = 138,963.44 : x
  2. Step 2: Convert to fraction form
    238,758.68/358,286.25 = 138,963.44/x
  3. Step 3: Cross multiply
    238,758.68x = 358,286.25 × 138,963.44
  4. Step 4: Simplify right side
    238,758.68x = 49,788,689,804.70
  5. Step 5: Solve for x
    x = 49,788,689,804.70/238,758.68
  6. Step 6: Final answer
    x = 208,531.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.