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Finding the Fourth Proportional to 422,586.78, 634,015.64 and 123,085.36

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Solution

The fourth proportional to 422,586.78, 634,015.64 and 123,085.36 is: 184,667.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,586.78 : 634,015.64 = 123,085.36 : x
  2. Step 2: Convert to fraction form
    422,586.78/634,015.64 = 123,085.36/x
  3. Step 3: Cross multiply
    422,586.78x = 634,015.64 × 123,085.36
  4. Step 4: Simplify right side
    422,586.78x = 78,038,043,295.03
  5. Step 5: Solve for x
    x = 78,038,043,295.03/422,586.78
  6. Step 6: Final answer
    x = 184,667.50

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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.