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Finding the Fourth Proportional to 285,936.89, 428,908.39 and 86,258.99

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Solution

The fourth proportional to 285,936.89, 428,908.39 and 86,258.99 is: 129,389.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,936.89 : 428,908.39 = 86,258.99 : x
  2. Step 2: Convert to fraction form
    285,936.89/428,908.39 = 86,258.99/x
  3. Step 3: Cross multiply
    285,936.89x = 428,908.39 × 86,258.99
  4. Step 4: Simplify right side
    285,936.89x = 36,997,205,380.55
  5. Step 5: Solve for x
    x = 36,997,205,380.55/285,936.89
  6. Step 6: Final answer
    x = 129,389.41

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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.