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Finding the Fourth Proportional to 285,193.58, 427,768.09 and 74,826.05

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Solution

The fourth proportional to 285,193.58, 427,768.09 and 74,826.05 is: 112,233.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,193.58 : 427,768.09 = 74,826.05 : x
  2. Step 2: Convert to fraction form
    285,193.58/427,768.09 = 74,826.05/x
  3. Step 3: Cross multiply
    285,193.58x = 427,768.09 × 74,826.05
  4. Step 4: Simplify right side
    285,193.58x = 32,008,194,164.84
  5. Step 5: Solve for x
    x = 32,008,194,164.84/285,193.58
  6. Step 6: Final answer
    x = 112,233.22

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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.