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Finding the Fourth Proportional to 394,986.65, 545,080.72 and 213,698.02

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Solution

The fourth proportional to 394,986.65, 545,080.72 and 213,698.02 is: 294,902.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,986.65 : 545,080.72 = 213,698.02 : x
  2. Step 2: Convert to fraction form
    394,986.65/545,080.72 = 213,698.02/x
  3. Step 3: Cross multiply
    394,986.65x = 545,080.72 × 213,698.02
  4. Step 4: Simplify right side
    394,986.65x = 116,482,670,604.17
  5. Step 5: Solve for x
    x = 116,482,670,604.17/394,986.65
  6. Step 6: Final answer
    x = 294,902.80

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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.