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Finding the Fourth Proportional to 287,488.31, 396,717.37 and 164,954.75

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Solution

The fourth proportional to 287,488.31, 396,717.37 and 164,954.75 is: 227,628.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,488.31 : 396,717.37 = 164,954.75 : x
  2. Step 2: Convert to fraction form
    287,488.31/396,717.37 = 164,954.75/x
  3. Step 3: Cross multiply
    287,488.31x = 396,717.37 × 164,954.75
  4. Step 4: Simplify right side
    287,488.31x = 65,440,415,168.41
  5. Step 5: Solve for x
    x = 65,440,415,168.41/287,488.31
  6. Step 6: Final answer
    x = 227,628.09

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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.