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Finding the Fourth Proportional to 398,352.38, 597,922.25 and 211,363.88

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Solution

The fourth proportional to 398,352.38, 597,922.25 and 211,363.88 is: 317,254.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,352.38 : 597,922.25 = 211,363.88 : x
  2. Step 2: Convert to fraction form
    398,352.38/597,922.25 = 211,363.88/x
  3. Step 3: Cross multiply
    398,352.38x = 597,922.25 × 211,363.88
  4. Step 4: Simplify right side
    398,352.38x = 126,379,162,651.90
  5. Step 5: Solve for x
    x = 126,379,162,651.90/398,352.38
  6. Step 6: Final answer
    x = 317,254.70

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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.