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Finding the Fourth Proportional to 354,690.96, 489,460.44 and 193,542.56

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Solution

The fourth proportional to 354,690.96, 489,460.44 and 193,542.56 is: 267,081.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,690.96 : 489,460.44 = 193,542.56 : x
  2. Step 2: Convert to fraction form
    354,690.96/489,460.44 = 193,542.56/x
  3. Step 3: Cross multiply
    354,690.96x = 489,460.44 × 193,542.56
  4. Step 4: Simplify right side
    354,690.96x = 94,731,424,129.02
  5. Step 5: Solve for x
    x = 94,731,424,129.02/354,690.96
  6. Step 6: Final answer
    x = 267,081.59

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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.