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Finding the Fourth Proportional to 298,973.80, 447,585.90 and 199,246.60

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Solution

The fourth proportional to 298,973.80, 447,585.90 and 199,246.60 is: 298,286.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,973.80 : 447,585.90 = 199,246.60 : x
  2. Step 2: Convert to fraction form
    298,973.80/447,585.90 = 199,246.60/x
  3. Step 3: Cross multiply
    298,973.80x = 447,585.90 × 199,246.60
  4. Step 4: Simplify right side
    298,973.80x = 89,179,968,782.94
  5. Step 5: Solve for x
    x = 89,179,968,782.94/298,973.80
  6. Step 6: Final answer
    x = 298,286.90

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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.