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Finding the Fourth Proportional to 455,107, 682,660.50 and 122,683

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Solution

The fourth proportional to 455,107, 682,660.50 and 122,683 is: 184,024.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,107 : 682,660.50 = 122,683 : x
  2. Step 2: Convert to fraction form
    455,107/682,660.50 = 122,683/x
  3. Step 3: Cross multiply
    455,107x = 682,660.50 × 122,683
  4. Step 4: Simplify right side
    455,107x = 83,750,838,121.50
  5. Step 5: Solve for x
    x = 83,750,838,121.50/455,107
  6. Step 6: Final answer
    x = 184,024.50

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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.