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Finding the Fourth Proportional to 396,428.88, 547,088.40 and 226,662.96

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Solution

The fourth proportional to 396,428.88, 547,088.40 and 226,662.96 is: 312,804.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,428.88 : 547,088.40 = 226,662.96 : x
  2. Step 2: Convert to fraction form
    396,428.88/547,088.40 = 226,662.96/x
  3. Step 3: Cross multiply
    396,428.88x = 547,088.40 × 226,662.96
  4. Step 4: Simplify right side
    396,428.88x = 124,004,676,125.66
  5. Step 5: Solve for x
    x = 124,004,676,125.66/396,428.88
  6. Step 6: Final answer
    x = 312,804.34

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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.