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Finding the Fourth Proportional to 394,937.38, 545,011.90 and 213,648.86

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Solution

The fourth proportional to 394,937.38, 545,011.90 and 213,648.86 is: 294,834.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,937.38 : 545,011.90 = 213,648.86 : x
  2. Step 2: Convert to fraction form
    394,937.38/545,011.90 = 213,648.86/x
  3. Step 3: Cross multiply
    394,937.38x = 545,011.90 × 213,648.86
  4. Step 4: Simplify right side
    394,937.38x = 116,441,171,121.43
  5. Step 5: Solve for x
    x = 116,441,171,121.43/394,937.38
  6. Step 6: Final answer
    x = 294,834.52

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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.