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Finding the Fourth Proportional to 287,893.29, 397,164.30 and 166,964.55

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Solution

The fourth proportional to 287,893.29, 397,164.30 and 166,964.55 is: 230,336.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,893.29 : 397,164.30 = 166,964.55 : x
  2. Step 2: Convert to fraction form
    287,893.29/397,164.30 = 166,964.55/x
  3. Step 3: Cross multiply
    287,893.29x = 397,164.30 × 166,964.55
  4. Step 4: Simplify right side
    287,893.29x = 66,312,358,625.57
  5. Step 5: Solve for x
    x = 66,312,358,625.57/287,893.29
  6. Step 6: Final answer
    x = 230,336.59

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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.