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Finding the Fourth Proportional to 285,408.37, 428,116.74 and 135,664.03

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Solution

The fourth proportional to 285,408.37, 428,116.74 and 135,664.03 is: 203,498.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,408.37 : 428,116.74 = 135,664.03 : x
  2. Step 2: Convert to fraction form
    285,408.37/428,116.74 = 135,664.03/x
  3. Step 3: Cross multiply
    285,408.37x = 428,116.74 × 135,664.03
  4. Step 4: Simplify right side
    285,408.37x = 58,080,042,258.86
  5. Step 5: Solve for x
    x = 58,080,042,258.86/285,408.37
  6. Step 6: Final answer
    x = 203,498.03

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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.