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Finding the Fourth Proportional to 396,520, 547,127.04 and 224,437.12

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Solution

The fourth proportional to 396,520, 547,127.04 and 224,437.12 is: 309,683.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,520 : 547,127.04 = 224,437.12 : x
  2. Step 2: Convert to fraction form
    396,520/547,127.04 = 224,437.12/x
  3. Step 3: Cross multiply
    396,520x = 547,127.04 × 224,437.12
  4. Step 4: Simplify right side
    396,520x = 122,795,617,131.73
  5. Step 5: Solve for x
    x = 122,795,617,131.73/396,520
  6. Step 6: Final answer
    x = 309,683.29

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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.