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Finding the Fourth Proportional to 580,269.80, 869,879.82 and 206,205.32

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Solution

The fourth proportional to 580,269.80, 869,879.82 and 206,205.32 is: 309,121.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,269.80 : 869,879.82 = 206,205.32 : x
  2. Step 2: Convert to fraction form
    580,269.80/869,879.82 = 206,205.32/x
  3. Step 3: Cross multiply
    580,269.80x = 869,879.82 × 206,205.32
  4. Step 4: Simplify right side
    580,269.80x = 179,373,846,644.64
  5. Step 5: Solve for x
    x = 179,373,846,644.64/580,269.80
  6. Step 6: Final answer
    x = 309,121.46

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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.