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Finding the Fourth Proportional to 385,518.78, 531,997.74 and 213,424.56

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Solution

The fourth proportional to 385,518.78, 531,997.74 and 213,424.56 is: 294,515.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,518.78 : 531,997.74 = 213,424.56 : x
  2. Step 2: Convert to fraction form
    385,518.78/531,997.74 = 213,424.56/x
  3. Step 3: Cross multiply
    385,518.78x = 531,997.74 × 213,424.56
  4. Step 4: Simplify right side
    385,518.78x = 113,541,383,580.49
  5. Step 5: Solve for x
    x = 113,541,383,580.49/385,518.78
  6. Step 6: Final answer
    x = 294,515.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.