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Finding the Fourth Proportional to 422,835.73, 634,346.90 and 123,339.75

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Solution

The fourth proportional to 422,835.73, 634,346.90 and 123,339.75 is: 185,036.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,835.73 : 634,346.90 = 123,339.75 : x
  2. Step 2: Convert to fraction form
    422,835.73/634,346.90 = 123,339.75/x
  3. Step 3: Cross multiply
    422,835.73x = 634,346.90 × 123,339.75
  4. Step 4: Simplify right side
    422,835.73x = 78,240,188,059.28
  5. Step 5: Solve for x
    x = 78,240,188,059.28/422,835.73
  6. Step 6: Final answer
    x = 185,036.84

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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.