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Finding the Fourth Proportional to 455,470.22, 682,661.81 and 211,983.65

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Solution

The fourth proportional to 455,470.22, 682,661.81 and 211,983.65 is: 317,722.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,470.22 : 682,661.81 = 211,983.65 : x
  2. Step 2: Convert to fraction form
    455,470.22/682,661.81 = 211,983.65/x
  3. Step 3: Cross multiply
    455,470.22x = 682,661.81 × 211,983.65
  4. Step 4: Simplify right side
    455,470.22x = 144,713,137,726.18
  5. Step 5: Solve for x
    x = 144,713,137,726.18/455,470.22
  6. Step 6: Final answer
    x = 317,722.51

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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.