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Finding the Fourth Proportional to 396,952.80, 595,428.28 and 172,284.11

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Solution

The fourth proportional to 396,952.80, 595,428.28 and 172,284.11 is: 258,425.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,952.80 : 595,428.28 = 172,284.11 : x
  2. Step 2: Convert to fraction form
    396,952.80/595,428.28 = 172,284.11/x
  3. Step 3: Cross multiply
    396,952.80x = 595,428.28 × 172,284.11
  4. Step 4: Simplify right side
    396,952.80x = 102,582,827,450.07
  5. Step 5: Solve for x
    x = 102,582,827,450.07/396,952.80
  6. Step 6: Final answer
    x = 258,425.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.