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Finding the Fourth Proportional to 285,954.39, 428,652.61 and 136,154.43

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Solution

The fourth proportional to 285,954.39, 428,652.61 and 136,154.43 is: 204,098.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,954.39 : 428,652.61 = 136,154.43 : x
  2. Step 2: Convert to fraction form
    285,954.39/428,652.61 = 136,154.43/x
  3. Step 3: Cross multiply
    285,954.39x = 428,652.61 × 136,154.43
  4. Step 4: Simplify right side
    285,954.39x = 58,362,951,782.56
  5. Step 5: Solve for x
    x = 58,362,951,782.56/285,954.39
  6. Step 6: Final answer
    x = 204,098.81

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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.