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Finding the Fourth Proportional to 455,206.70, 682,810.06 and 313,489.10

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Solution

The fourth proportional to 455,206.70, 682,810.06 and 313,489.10 is: 470,233.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,206.70 : 682,810.06 = 313,489.10 : x
  2. Step 2: Convert to fraction form
    455,206.70/682,810.06 = 313,489.10/x
  3. Step 3: Cross multiply
    455,206.70x = 682,810.06 × 313,489.10
  4. Step 4: Simplify right side
    455,206.70x = 214,053,511,180.35
  5. Step 5: Solve for x
    x = 214,053,511,180.35/455,206.70
  6. Step 6: Final answer
    x = 470,233.66

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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.