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Finding the Fourth Proportional to 397,257, 595,890.96 and 220,110

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Solution

The fourth proportional to 397,257, 595,890.96 and 220,110 is: 330,168.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,257 : 595,890.96 = 220,110 : x
  2. Step 2: Convert to fraction form
    397,257/595,890.96 = 220,110/x
  3. Step 3: Cross multiply
    397,257x = 595,890.96 × 220,110
  4. Step 4: Simplify right side
    397,257x = 131,161,559,205.60
  5. Step 5: Solve for x
    x = 131,161,559,205.60/397,257
  6. Step 6: Final answer
    x = 330,168.03

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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.