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Finding the Fourth Proportional to 285,342.60, 427,912.94 and 82,896.59

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Solution

The fourth proportional to 285,342.60, 427,912.94 and 82,896.59 is: 124,315.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,342.60 : 427,912.94 = 82,896.59 : x
  2. Step 2: Convert to fraction form
    285,342.60/427,912.94 = 82,896.59/x
  3. Step 3: Cross multiply
    285,342.60x = 427,912.94 × 82,896.59
  4. Step 4: Simplify right side
    285,342.60x = 35,472,521,946.59
  5. Step 5: Solve for x
    x = 35,472,521,946.59/285,342.60
  6. Step 6: Final answer
    x = 124,315.55

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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.