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Finding the Fourth Proportional to 276,887.84, 382,105.35 and 149,563.40

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Solution

The fourth proportional to 276,887.84, 382,105.35 and 149,563.40 is: 206,397.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,887.84 : 382,105.35 = 149,563.40 : x
  2. Step 2: Convert to fraction form
    276,887.84/382,105.35 = 149,563.40/x
  3. Step 3: Cross multiply
    276,887.84x = 382,105.35 × 149,563.40
  4. Step 4: Simplify right side
    276,887.84x = 57,148,973,393.66
  5. Step 5: Solve for x
    x = 57,148,973,393.66/276,887.84
  6. Step 6: Final answer
    x = 206,397.56

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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.