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Finding the Fourth Proportional to 276,814.85, 382,004.49 and 149,490.44

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Solution

The fourth proportional to 276,814.85, 382,004.49 and 149,490.44 is: 206,296.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,814.85 : 382,004.49 = 149,490.44 : x
  2. Step 2: Convert to fraction form
    276,814.85/382,004.49 = 149,490.44/x
  3. Step 3: Cross multiply
    276,814.85x = 382,004.49 × 149,490.44
  4. Step 4: Simplify right side
    276,814.85x = 57,106,019,292.08
  5. Step 5: Solve for x
    x = 57,106,019,292.08/276,814.85
  6. Step 6: Final answer
    x = 206,296.81

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1.5x scale

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.