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Finding the Fourth Proportional to 259,631, 358,290.80 and 140,399

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Solution

The fourth proportional to 259,631, 358,290.80 and 140,399 is: 193,750.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,631 : 358,290.80 = 140,399 : x
  2. Step 2: Convert to fraction form
    259,631/358,290.80 = 140,399/x
  3. Step 3: Cross multiply
    259,631x = 358,290.80 × 140,399
  4. Step 4: Simplify right side
    259,631x = 50,303,670,029.20
  5. Step 5: Solve for x
    x = 50,303,670,029.20/259,631
  6. Step 6: Final answer
    x = 193,750.63

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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.