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Finding the Fourth Proportional to 422,912.51, 634,485.86 and 195,277.60

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Solution

The fourth proportional to 422,912.51, 634,485.86 and 195,277.60 is: 292,970.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,912.51 : 634,485.86 = 195,277.60 : x
  2. Step 2: Convert to fraction form
    422,912.51/634,485.86 = 195,277.60/x
  3. Step 3: Cross multiply
    422,912.51x = 634,485.86 × 195,277.60
  4. Step 4: Simplify right side
    422,912.51x = 123,900,875,974.74
  5. Step 5: Solve for x
    x = 123,900,875,974.74/422,912.51
  6. Step 6: Final answer
    x = 292,970.47

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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.