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Finding the Fourth Proportional to 408,499.20, 612,092.70 and 384,879.60

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Solution

The fourth proportional to 408,499.20, 612,092.70 and 384,879.60 is: 576,701.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,499.20 : 612,092.70 = 384,879.60 : x
  2. Step 2: Convert to fraction form
    408,499.20/612,092.70 = 384,879.60/x
  3. Step 3: Cross multiply
    408,499.20x = 612,092.70 × 384,879.60
  4. Step 4: Simplify right side
    408,499.20x = 235,581,993,538.92
  5. Step 5: Solve for x
    x = 235,581,993,538.92/408,499.20
  6. Step 6: Final answer
    x = 576,701.24

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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.