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Finding the Fourth Proportional to 238,768.48, 357,972.90 and 205,876

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Solution

The fourth proportional to 238,768.48, 357,972.90 and 205,876 is: 308,658.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,768.48 : 357,972.90 = 205,876 : x
  2. Step 2: Convert to fraction form
    238,768.48/357,972.90 = 205,876/x
  3. Step 3: Cross multiply
    238,768.48x = 357,972.90 × 205,876
  4. Step 4: Simplify right side
    238,768.48x = 73,698,028,760.40
  5. Step 5: Solve for x
    x = 73,698,028,760.40/238,768.48
  6. Step 6: Final answer
    x = 308,658.95

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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.