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Finding the Fourth Proportional to 305,107.26, 457,640.37 and 105,430.38

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Solution

The fourth proportional to 305,107.26, 457,640.37 and 105,430.38 is: 158,138.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,107.26 : 457,640.37 = 105,430.38 : x
  2. Step 2: Convert to fraction form
    305,107.26/457,640.37 = 105,430.38/x
  3. Step 3: Cross multiply
    305,107.26x = 457,640.37 × 105,430.38
  4. Step 4: Simplify right side
    305,107.26x = 48,249,198,112.44
  5. Step 5: Solve for x
    x = 48,249,198,112.44/305,107.26
  6. Step 6: Final answer
    x = 158,138.48

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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.