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Finding the Fourth Proportional to 396,510, 547,113.24 and 224,427.12

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Solution

The fourth proportional to 396,510, 547,113.24 and 224,427.12 is: 309,669.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,510 : 547,113.24 = 224,427.12 : x
  2. Step 2: Convert to fraction form
    396,510/547,113.24 = 224,427.12/x
  3. Step 3: Cross multiply
    396,510x = 547,113.24 × 224,427.12
  4. Step 4: Simplify right side
    396,510x = 122,787,048,767.07
  5. Step 5: Solve for x
    x = 122,787,048,767.07/396,510
  6. Step 6: Final answer
    x = 309,669.49

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1.5x scale

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.