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Finding the Fourth Proportional to 298,199.64, 411,504.96 and 162,229.80

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Solution

The fourth proportional to 298,199.64, 411,504.96 and 162,229.80 is: 223,871.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,199.64 : 411,504.96 = 162,229.80 : x
  2. Step 2: Convert to fraction form
    298,199.64/411,504.96 = 162,229.80/x
  3. Step 3: Cross multiply
    298,199.64x = 411,504.96 × 162,229.80
  4. Step 4: Simplify right side
    298,199.64x = 66,758,367,359.81
  5. Step 5: Solve for x
    x = 66,758,367,359.81/298,199.64
  6. Step 6: Final answer
    x = 223,871.39

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1.5x scale

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.