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Finding the Fourth Proportional to 305,956.95, 422,160.98 and 178,637.91

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Solution

The fourth proportional to 305,956.95, 422,160.98 and 178,637.91 is: 246,485.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,956.95 : 422,160.98 = 178,637.91 : x
  2. Step 2: Convert to fraction form
    305,956.95/422,160.98 = 178,637.91/x
  3. Step 3: Cross multiply
    305,956.95x = 422,160.98 × 178,637.91
  4. Step 4: Simplify right side
    305,956.95x = 75,413,954,257.56
  5. Step 5: Solve for x
    x = 75,413,954,257.56/305,956.95
  6. Step 6: Final answer
    x = 246,485.51

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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.