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Finding the Fourth Proportional to 435,991.80, 654,182.10 and 199,212.60

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Solution

The fourth proportional to 435,991.80, 654,182.10 and 199,212.60 is: 298,907.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,991.80 : 654,182.10 = 199,212.60 : x
  2. Step 2: Convert to fraction form
    435,991.80/654,182.10 = 199,212.60/x
  3. Step 3: Cross multiply
    435,991.80x = 654,182.10 × 199,212.60
  4. Step 4: Simplify right side
    435,991.80x = 130,321,317,014.46
  5. Step 5: Solve for x
    x = 130,321,317,014.46/435,991.80
  6. Step 6: Final answer
    x = 298,907.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.