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Finding the Fourth Proportional to 307,738.60, 460,733.10 and 276,245.80

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Solution

The fourth proportional to 307,738.60, 460,733.10 and 276,245.80 is: 413,583.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,738.60 : 460,733.10 = 276,245.80 : x
  2. Step 2: Convert to fraction form
    307,738.60/460,733.10 = 276,245.80/x
  3. Step 3: Cross multiply
    307,738.60x = 460,733.10 × 276,245.80
  4. Step 4: Simplify right side
    307,738.60x = 127,275,583,795.98
  5. Step 5: Solve for x
    x = 127,275,583,795.98/307,738.60
  6. Step 6: Final answer
    x = 413,583.42

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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.