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Finding the Fourth Proportional to 415,504.89, 622,765.26 and 190,675.82

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Solution

The fourth proportional to 415,504.89, 622,765.26 and 190,675.82 is: 285,787.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,504.89 : 622,765.26 = 190,675.82 : x
  2. Step 2: Convert to fraction form
    415,504.89/622,765.26 = 190,675.82/x
  3. Step 3: Cross multiply
    415,504.89x = 622,765.26 × 190,675.82
  4. Step 4: Simplify right side
    415,504.89x = 118,746,278,174.93
  5. Step 5: Solve for x
    x = 118,746,278,174.93/415,504.89
  6. Step 6: Final answer
    x = 285,787.92

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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.