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Finding the Fourth Proportional to 455,104, 682,656 and 122,680

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Solution

The fourth proportional to 455,104, 682,656 and 122,680 is: 184,020

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,104 : 682,656 = 122,680 : x
  2. Step 2: Convert to fraction form
    455,104/682,656 = 122,680/x
  3. Step 3: Cross multiply
    455,104x = 682,656 × 122,680
  4. Step 4: Simplify right side
    455,104x = 83,748,238,080
  5. Step 5: Solve for x
    x = 83,748,238,080/455,104
  6. Step 6: Final answer
    x = 184,020

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.