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Finding the Fourth Proportional to 287,673.64, 396,942.18 and 166,765.40

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Solution

The fourth proportional to 287,673.64, 396,942.18 and 166,765.40 is: 230,108.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,673.64 : 396,942.18 = 166,765.40 : x
  2. Step 2: Convert to fraction form
    287,673.64/396,942.18 = 166,765.40/x
  3. Step 3: Cross multiply
    287,673.64x = 396,942.18 × 166,765.40
  4. Step 4: Simplify right side
    287,673.64x = 66,196,221,424.57
  5. Step 5: Solve for x
    x = 66,196,221,424.57/287,673.64
  6. Step 6: Final answer
    x = 230,108.75

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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.