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Finding the Fourth Proportional to 287,463.24, 396,662.40 and 166,603.68

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Solution

The fourth proportional to 287,463.24, 396,662.40 and 166,603.68 is: 229,891.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,463.24 : 396,662.40 = 166,603.68 : x
  2. Step 2: Convert to fraction form
    287,463.24/396,662.40 = 166,603.68/x
  3. Step 3: Cross multiply
    287,463.24x = 396,662.40 × 166,603.68
  4. Step 4: Simplify right side
    287,463.24x = 66,085,415,557.63
  5. Step 5: Solve for x
    x = 66,085,415,557.63/287,463.24
  6. Step 6: Final answer
    x = 229,891.71

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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.