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Finding the Fourth Proportional to 287,672.64, 396,940.80 and 166,764.40

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Solution

The fourth proportional to 287,672.64, 396,940.80 and 166,764.40 is: 230,107.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,672.64 : 396,940.80 = 166,764.40 : x
  2. Step 2: Convert to fraction form
    287,672.64/396,940.80 = 166,764.40/x
  3. Step 3: Cross multiply
    287,672.64x = 396,940.80 × 166,764.40
  4. Step 4: Simplify right side
    287,672.64x = 66,195,594,347.52
  5. Step 5: Solve for x
    x = 66,195,594,347.52/287,672.64
  6. Step 6: Final answer
    x = 230,107.37

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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.