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Finding the Fourth Proportional to 383,542.70, 529,295.92 and 213,758.60

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Solution

The fourth proportional to 383,542.70, 529,295.92 and 213,758.60 is: 294,990.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,542.70 : 529,295.92 = 213,758.60 : x
  2. Step 2: Convert to fraction form
    383,542.70/529,295.92 = 213,758.60/x
  3. Step 3: Cross multiply
    383,542.70x = 529,295.92 × 213,758.60
  4. Step 4: Simplify right side
    383,542.70x = 113,141,551,664.04
  5. Step 5: Solve for x
    x = 113,141,551,664.04/383,542.70
  6. Step 6: Final answer
    x = 294,990.76

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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.