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Finding the Fourth Proportional to 354,620.72, 489,375.96 and 193,475.84

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Solution

The fourth proportional to 354,620.72, 489,375.96 and 193,475.84 is: 266,996.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,620.72 : 489,375.96 = 193,475.84 : x
  2. Step 2: Convert to fraction form
    354,620.72/489,375.96 = 193,475.84/x
  3. Step 3: Cross multiply
    354,620.72x = 489,375.96 × 193,475.84
  4. Step 4: Simplify right side
    354,620.72x = 94,682,424,936.81
  5. Step 5: Solve for x
    x = 94,682,424,936.81/354,620.72
  6. Step 6: Final answer
    x = 266,996.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.