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Finding the Fourth Proportional to 489,639.42, 734,272.16 and 190,081.31

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Solution

The fourth proportional to 489,639.42, 734,272.16 and 190,081.31 is: 285,049.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,639.42 : 734,272.16 = 190,081.31 : x
  2. Step 2: Convert to fraction form
    489,639.42/734,272.16 = 190,081.31/x
  3. Step 3: Cross multiply
    489,639.42x = 734,272.16 × 190,081.31
  4. Step 4: Simplify right side
    489,639.42x = 139,571,409,447.56
  5. Step 5: Solve for x
    x = 139,571,409,447.56/489,639.42
  6. Step 6: Final answer
    x = 285,049.37

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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.