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Finding the Fourth Proportional to 455,715.21, 682,137.60 and 312,724.45

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Solution

The fourth proportional to 455,715.21, 682,137.60 and 312,724.45 is: 468,101.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,715.21 : 682,137.60 = 312,724.45 : x
  2. Step 2: Convert to fraction form
    455,715.21/682,137.60 = 312,724.45/x
  3. Step 3: Cross multiply
    455,715.21x = 682,137.60 × 312,724.45
  4. Step 4: Simplify right side
    455,715.21x = 213,321,103,386.33
  5. Step 5: Solve for x
    x = 213,321,103,386.33/455,715.21
  6. Step 6: Final answer
    x = 468,101.78

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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.