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Finding the Fourth Proportional to 489,138.80, 734,072.70 and 252,359.60

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Solution

The fourth proportional to 489,138.80, 734,072.70 and 252,359.60 is: 378,727.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,138.80 : 734,072.70 = 252,359.60 : x
  2. Step 2: Convert to fraction form
    489,138.80/734,072.70 = 252,359.60/x
  3. Step 3: Cross multiply
    489,138.80x = 734,072.70 × 252,359.60
  4. Step 4: Simplify right side
    489,138.80x = 185,250,292,942.92
  5. Step 5: Solve for x
    x = 185,250,292,942.92/489,138.80
  6. Step 6: Final answer
    x = 378,727.46

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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.