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Finding the Fourth Proportional to 259,029.48, 388,217.88 and 138,788.22

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Solution

The fourth proportional to 259,029.48, 388,217.88 and 138,788.22 is: 208,007.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,029.48 : 388,217.88 = 138,788.22 : x
  2. Step 2: Convert to fraction form
    259,029.48/388,217.88 = 138,788.22/x
  3. Step 3: Cross multiply
    259,029.48x = 388,217.88 × 138,788.22
  4. Step 4: Simplify right side
    259,029.48x = 53,880,068,537.37
  5. Step 5: Solve for x
    x = 53,880,068,537.37/259,029.48
  6. Step 6: Final answer
    x = 208,007.48

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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.