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Finding the Fourth Proportional to 397,108.20, 595,662.30 and 355,117.80

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Solution

The fourth proportional to 397,108.20, 595,662.30 and 355,117.80 is: 532,676.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,108.20 : 595,662.30 = 355,117.80 : x
  2. Step 2: Convert to fraction form
    397,108.20/595,662.30 = 355,117.80/x
  3. Step 3: Cross multiply
    397,108.20x = 595,662.30 × 355,117.80
  4. Step 4: Simplify right side
    397,108.20x = 211,530,285,518.94
  5. Step 5: Solve for x
    x = 211,530,285,518.94/397,108.20
  6. Step 6: Final answer
    x = 532,676.70

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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.