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Finding the Fourth Proportional to 285,194.58, 427,769.59 and 74,827.05

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Solution

The fourth proportional to 285,194.58, 427,769.59 and 74,827.05 is: 112,234.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,194.58 : 427,769.59 = 74,827.05 : x
  2. Step 2: Convert to fraction form
    285,194.58/427,769.59 = 74,827.05/x
  3. Step 3: Cross multiply
    285,194.58x = 427,769.59 × 74,827.05
  4. Step 4: Simplify right side
    285,194.58x = 32,008,736,499.41
  5. Step 5: Solve for x
    x = 32,008,736,499.41/285,194.58
  6. Step 6: Final answer
    x = 112,234.73

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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.