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Finding the Fourth Proportional to 287,387.64, 396,599.16 and 166,537.68

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Solution

The fourth proportional to 287,387.64, 396,599.16 and 166,537.68 is: 229,824.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,387.64 : 396,599.16 = 166,537.68 : x
  2. Step 2: Convert to fraction form
    287,387.64/396,599.16 = 166,537.68/x
  3. Step 3: Cross multiply
    287,387.64x = 396,599.16 × 166,537.68
  4. Step 4: Simplify right side
    287,387.64x = 66,048,703,996.35
  5. Step 5: Solve for x
    x = 66,048,703,996.35/287,387.64
  6. Step 6: Final answer
    x = 229,824.44

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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.