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Finding the Fourth Proportional to 489,967.73, 734,604.10 and 190,195.64

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Solution

The fourth proportional to 489,967.73, 734,604.10 and 190,195.64 is: 285,158.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,967.73 : 734,604.10 = 190,195.64 : x
  2. Step 2: Convert to fraction form
    489,967.73/734,604.10 = 190,195.64/x
  3. Step 3: Cross multiply
    489,967.73x = 734,604.10 × 190,195.64
  4. Step 4: Simplify right side
    489,967.73x = 139,718,492,797.61
  5. Step 5: Solve for x
    x = 139,718,492,797.61/489,967.73
  6. Step 6: Final answer
    x = 285,158.56

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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.