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Finding the Fourth Proportional to 285,245.72, 427,878.50 and 135,408.82

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Solution

The fourth proportional to 285,245.72, 427,878.50 and 135,408.82 is: 203,117.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,245.72 : 427,878.50 = 135,408.82 : x
  2. Step 2: Convert to fraction form
    285,245.72/427,878.50 = 135,408.82/x
  3. Step 3: Cross multiply
    285,245.72x = 427,878.50 × 135,408.82
  4. Step 4: Simplify right side
    285,245.72x = 57,938,522,788.37
  5. Step 5: Solve for x
    x = 57,938,522,788.37/285,245.72
  6. Step 6: Final answer
    x = 203,117.94

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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.