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Finding the Fourth Proportional to 287,329.44, 396,479.82 and 164,815.40

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Solution

The fourth proportional to 287,329.44, 396,479.82 and 164,815.40 is: 227,425.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,329.44 : 396,479.82 = 164,815.40 : x
  2. Step 2: Convert to fraction form
    287,329.44/396,479.82 = 164,815.40/x
  3. Step 3: Cross multiply
    287,329.44x = 396,479.82 × 164,815.40
  4. Step 4: Simplify right side
    287,329.44x = 65,345,980,125.23
  5. Step 5: Solve for x
    x = 65,345,980,125.23/287,329.44
  6. Step 6: Final answer
    x = 227,425.29

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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.