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Finding the Fourth Proportional to 398,348.38, 597,916.23 and 211,359.88

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Solution

The fourth proportional to 398,348.38, 597,916.23 and 211,359.88 is: 317,248.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,348.38 : 597,916.23 = 211,359.88 : x
  2. Step 2: Convert to fraction form
    398,348.38/597,916.23 = 211,359.88/x
  3. Step 3: Cross multiply
    398,348.38x = 597,916.23 × 211,359.88
  4. Step 4: Simplify right side
    398,348.38x = 126,375,498,576.47
  5. Step 5: Solve for x
    x = 126,375,498,576.47/398,348.38
  6. Step 6: Final answer
    x = 317,248.69

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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.