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Finding the Fourth Proportional to 285,311.44, 427,966.14 and 85,630.96

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Solution

The fourth proportional to 285,311.44, 427,966.14 and 85,630.96 is: 128,446.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,311.44 : 427,966.14 = 85,630.96 : x
  2. Step 2: Convert to fraction form
    285,311.44/427,966.14 = 85,630.96/x
  3. Step 3: Cross multiply
    285,311.44x = 427,966.14 × 85,630.96
  4. Step 4: Simplify right side
    285,311.44x = 36,647,151,415.69
  5. Step 5: Solve for x
    x = 36,647,151,415.69/285,311.44
  6. Step 6: Final answer
    x = 128,446.13

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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.