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Finding the Fourth Proportional to 489,757.94, 675,814.07 and 274,921.64

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Solution

The fourth proportional to 489,757.94, 675,814.07 and 274,921.64 is: 379,362.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,757.94 : 675,814.07 = 274,921.64 : x
  2. Step 2: Convert to fraction form
    489,757.94/675,814.07 = 274,921.64/x
  3. Step 3: Cross multiply
    489,757.94x = 675,814.07 × 274,921.64
  4. Step 4: Simplify right side
    489,757.94x = 185,795,912,459.48
  5. Step 5: Solve for x
    x = 185,795,912,459.48/489,757.94
  6. Step 6: Final answer
    x = 379,362.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.