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Finding the Fourth Proportional to 455,119, 682,678.50 and 122,695

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Solution

The fourth proportional to 455,119, 682,678.50 and 122,695 is: 184,042.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,119 : 682,678.50 = 122,695 : x
  2. Step 2: Convert to fraction form
    455,119/682,678.50 = 122,695/x
  3. Step 3: Cross multiply
    455,119x = 682,678.50 × 122,695
  4. Step 4: Simplify right side
    455,119x = 83,761,238,557.50
  5. Step 5: Solve for x
    x = 83,761,238,557.50/455,119
  6. Step 6: Final answer
    x = 184,042.50

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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.