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Finding the Fourth Proportional to 489,414.60, 734,121.90 and 489,414.60

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Solution

The fourth proportional to 489,414.60, 734,121.90 and 489,414.60 is: 734,121.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,414.60 : 734,121.90 = 489,414.60 : x
  2. Step 2: Convert to fraction form
    489,414.60/734,121.90 = 489,414.60/x
  3. Step 3: Cross multiply
    489,414.60x = 734,121.90 × 489,414.60
  4. Step 4: Simplify right side
    489,414.60x = 359,289,976,039.74
  5. Step 5: Solve for x
    x = 359,289,976,039.74/489,414.60
  6. Step 6: Final answer
    x = 734,121.90

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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.