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Finding the Fourth Proportional to 455,077, 682,615.50 and 122,653

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Solution

The fourth proportional to 455,077, 682,615.50 and 122,653 is: 183,979.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,077 : 682,615.50 = 122,653 : x
  2. Step 2: Convert to fraction form
    455,077/682,615.50 = 122,653/x
  3. Step 3: Cross multiply
    455,077x = 682,615.50 × 122,653
  4. Step 4: Simplify right side
    455,077x = 83,724,838,921.50
  5. Step 5: Solve for x
    x = 83,724,838,921.50/455,077
  6. Step 6: Final answer
    x = 183,979.50

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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.