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Finding the Fourth Proportional to 309,009.14, 426,370.98 and 188,069.42

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Solution

The fourth proportional to 309,009.14, 426,370.98 and 188,069.42 is: 259,498.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,009.14 : 426,370.98 = 188,069.42 : x
  2. Step 2: Convert to fraction form
    309,009.14/426,370.98 = 188,069.42/x
  3. Step 3: Cross multiply
    309,009.14x = 426,370.98 × 188,069.42
  4. Step 4: Simplify right side
    309,009.14x = 80,187,342,913.43
  5. Step 5: Solve for x
    x = 80,187,342,913.43/309,009.14
  6. Step 6: Final answer
    x = 259,498.29

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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.