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Finding the Fourth Proportional to 277,308.58, 382,687.59 and 149,983.87

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Solution

The fourth proportional to 277,308.58, 382,687.59 and 149,983.87 is: 206,978.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,308.58 : 382,687.59 = 149,983.87 : x
  2. Step 2: Convert to fraction form
    277,308.58/382,687.59 = 149,983.87/x
  3. Step 3: Cross multiply
    277,308.58x = 382,687.59 × 149,983.87
  4. Step 4: Simplify right side
    277,308.58x = 57,396,965,749.17
  5. Step 5: Solve for x
    x = 57,396,965,749.17/277,308.58
  6. Step 6: Final answer
    x = 206,978.69

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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.