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Finding the Fourth Proportional to 397,311.40, 595,748.40 and 172,633.60

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Solution

The fourth proportional to 397,311.40, 595,748.40 and 172,633.60 is: 258,855.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,311.40 : 595,748.40 = 172,633.60 : x
  2. Step 2: Convert to fraction form
    397,311.40/595,748.40 = 172,633.60/x
  3. Step 3: Cross multiply
    397,311.40x = 595,748.40 × 172,633.60
  4. Step 4: Simplify right side
    397,311.40x = 102,846,190,986.24
  5. Step 5: Solve for x
    x = 102,846,190,986.24/397,311.40
  6. Step 6: Final answer
    x = 258,855.37

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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.