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Finding the Fourth Proportional to 287,384.73, 396,590.65 and 166,596.03

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Solution

The fourth proportional to 287,384.73, 396,590.65 and 166,596.03 is: 229,902.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,384.73 : 396,590.65 = 166,596.03 : x
  2. Step 2: Convert to fraction form
    287,384.73/396,590.65 = 166,596.03/x
  3. Step 3: Cross multiply
    287,384.73x = 396,590.65 × 166,596.03
  4. Step 4: Simplify right side
    287,384.73x = 66,070,427,825.12
  5. Step 5: Solve for x
    x = 66,070,427,825.12/287,384.73
  6. Step 6: Final answer
    x = 229,902.36

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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.