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Finding the Fourth Proportional to 199,426.40, 298,945.20 and 178,431.20

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Solution

The fourth proportional to 199,426.40, 298,945.20 and 178,431.20 is: 267,472.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,426.40 : 298,945.20 = 178,431.20 : x
  2. Step 2: Convert to fraction form
    199,426.40/298,945.20 = 178,431.20/x
  3. Step 3: Cross multiply
    199,426.40x = 298,945.20 × 178,431.20
  4. Step 4: Simplify right side
    199,426.40x = 53,341,150,770.24
  5. Step 5: Solve for x
    x = 53,341,150,770.24/199,426.40
  6. Step 6: Final answer
    x = 267,472.87

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1.5x scale

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.