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Finding the Fourth Proportional to 491,782.40, 736,766.40 and 280,793.60

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Solution

The fourth proportional to 491,782.40, 736,766.40 and 280,793.60 is: 420,672.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,782.40 : 736,766.40 = 280,793.60 : x
  2. Step 2: Convert to fraction form
    491,782.40/736,766.40 = 280,793.60/x
  3. Step 3: Cross multiply
    491,782.40x = 736,766.40 × 280,793.60
  4. Step 4: Simplify right side
    491,782.40x = 206,879,289,815.04
  5. Step 5: Solve for x
    x = 206,879,289,815.04/491,782.40
  6. Step 6: Final answer
    x = 420,672.41

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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.