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Finding the Fourth Proportional to 489,772.34, 734,519.38 and 190,188.98

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Solution

The fourth proportional to 489,772.34, 734,519.38 and 190,188.98 is: 285,229.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,772.34 : 734,519.38 = 190,188.98 : x
  2. Step 2: Convert to fraction form
    489,772.34/734,519.38 = 190,188.98/x
  3. Step 3: Cross multiply
    489,772.34x = 734,519.38 × 190,188.98
  4. Step 4: Simplify right side
    489,772.34x = 139,697,491,672.43
  5. Step 5: Solve for x
    x = 139,697,491,672.43/489,772.34
  6. Step 6: Final answer
    x = 285,229.44

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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.