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Finding the Fourth Proportional to 396,236, 546,815.28 and 217,388

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Solution

The fourth proportional to 396,236, 546,815.28 and 217,388 is: 300,000.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,236 : 546,815.28 = 217,388 : x
  2. Step 2: Convert to fraction form
    396,236/546,815.28 = 217,388/x
  3. Step 3: Cross multiply
    396,236x = 546,815.28 × 217,388
  4. Step 4: Simplify right side
    396,236x = 118,871,080,088.64
  5. Step 5: Solve for x
    x = 118,871,080,088.64/396,236
  6. Step 6: Final answer
    x = 300,000.71

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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.