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Finding the Fourth Proportional to 304,858.31, 420,027 and 201,308.61

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Solution

The fourth proportional to 304,858.31, 420,027 and 201,308.61 is: 277,358.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,858.31 : 420,027 = 201,308.61 : x
  2. Step 2: Convert to fraction form
    304,858.31/420,027 = 201,308.61/x
  3. Step 3: Cross multiply
    304,858.31x = 420,027 × 201,308.61
  4. Step 4: Simplify right side
    304,858.31x = 84,555,051,532.47
  5. Step 5: Solve for x
    x = 84,555,051,532.47/304,858.31
  6. Step 6: Final answer
    x = 277,358.53

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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.