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Finding the Fourth Proportional to 394,938.84, 545,013.06 and 213,650.04

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Solution

The fourth proportional to 394,938.84, 545,013.06 and 213,650.04 is: 294,835.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,938.84 : 545,013.06 = 213,650.04 : x
  2. Step 2: Convert to fraction form
    394,938.84/545,013.06 = 213,650.04/x
  3. Step 3: Cross multiply
    394,938.84x = 545,013.06 × 213,650.04
  4. Step 4: Simplify right side
    394,938.84x = 116,442,062,069.52
  5. Step 5: Solve for x
    x = 116,442,062,069.52/394,938.84
  6. Step 6: Final answer
    x = 294,835.68

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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.