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Finding the Fourth Proportional to 396,414, 547,078.28 and 224,332.08

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Solution

The fourth proportional to 396,414, 547,078.28 and 224,332.08 is: 309,593.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,414 : 547,078.28 = 224,332.08 : x
  2. Step 2: Convert to fraction form
    396,414/547,078.28 = 224,332.08/x
  3. Step 3: Cross multiply
    396,414x = 547,078.28 × 224,332.08
  4. Step 4: Simplify right side
    396,414x = 122,727,208,475.22
  5. Step 5: Solve for x
    x = 122,727,208,475.22/396,414
  6. Step 6: Final answer
    x = 309,593.53

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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.