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Finding the Fourth Proportional to 285,289.52, 427,976.00 and 85,625.69

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Solution

The fourth proportional to 285,289.52, 427,976.00 and 85,625.69 is: 128,451.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,289.52 : 427,976.00 = 85,625.69 : x
  2. Step 2: Convert to fraction form
    285,289.52/427,976.00 = 85,625.69/x
  3. Step 3: Cross multiply
    285,289.52x = 427,976.00 × 85,625.69
  4. Step 4: Simplify right side
    285,289.52x = 36,645,737,735.43
  5. Step 5: Solve for x
    x = 36,645,737,735.43/285,289.52
  6. Step 6: Final answer
    x = 128,451.05

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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.