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Finding the Fourth Proportional to 457,081.18, 685,738.41 and 289,790.26

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Solution

The fourth proportional to 457,081.18, 685,738.41 and 289,790.26 is: 434,759.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,081.18 : 685,738.41 = 289,790.26 : x
  2. Step 2: Convert to fraction form
    457,081.18/685,738.41 = 289,790.26/x
  3. Step 3: Cross multiply
    457,081.18x = 685,738.41 × 289,790.26
  4. Step 4: Simplify right side
    457,081.18x = 198,720,309,324.83
  5. Step 5: Solve for x
    x = 198,720,309,324.83/457,081.18
  6. Step 6: Final answer
    x = 434,759.34

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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.