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Finding the Fourth Proportional to 396,398.88, 547,047 and 226,632.87

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Solution

The fourth proportional to 396,398.88, 547,047 and 226,632.87 is: 312,762.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,398.88 : 547,047 = 226,632.87 : x
  2. Step 2: Convert to fraction form
    396,398.88/547,047 = 226,632.87/x
  3. Step 3: Cross multiply
    396,398.88x = 547,047 × 226,632.87
  4. Step 4: Simplify right side
    396,398.88x = 123,978,831,634.89
  5. Step 5: Solve for x
    x = 123,978,831,634.89/396,398.88
  6. Step 6: Final answer
    x = 312,762.82

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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.