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Finding the Fourth Proportional to 397,173.69, 595,425.71 and 172,364.78

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Solution

The fourth proportional to 397,173.69, 595,425.71 and 172,364.78 is: 258,401.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,173.69 : 595,425.71 = 172,364.78 : x
  2. Step 2: Convert to fraction form
    397,173.69/595,425.71 = 172,364.78/x
  3. Step 3: Cross multiply
    397,173.69x = 595,425.71 × 172,364.78
  4. Step 4: Simplify right side
    397,173.69x = 102,630,422,137.23
  5. Step 5: Solve for x
    x = 102,630,422,137.23/397,173.69
  6. Step 6: Final answer
    x = 258,401.87

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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.