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Finding the Fourth Proportional to 398,849.28, 597,775 and 199,225.38

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Solution

The fourth proportional to 398,849.28, 597,775 and 199,225.38 is: 298,588.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,849.28 : 597,775 = 199,225.38 : x
  2. Step 2: Convert to fraction form
    398,849.28/597,775 = 199,225.38/x
  3. Step 3: Cross multiply
    398,849.28x = 597,775 × 199,225.38
  4. Step 4: Simplify right side
    398,849.28x = 119,091,951,529.50
  5. Step 5: Solve for x
    x = 119,091,951,529.50/398,849.28
  6. Step 6: Final answer
    x = 298,588.86

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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.