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Finding the Fourth Proportional to 455,136.80, 682,705.20 and 313,419.20

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Solution

The fourth proportional to 455,136.80, 682,705.20 and 313,419.20 is: 470,128.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,136.80 : 682,705.20 = 313,419.20 : x
  2. Step 2: Convert to fraction form
    455,136.80/682,705.20 = 313,419.20/x
  3. Step 3: Cross multiply
    455,136.80x = 682,705.20 × 313,419.20
  4. Step 4: Simplify right side
    455,136.80x = 213,972,917,619.84
  5. Step 5: Solve for x
    x = 213,972,917,619.84/455,136.80
  6. Step 6: Final answer
    x = 470,128.80

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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.