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Finding the Fourth Proportional to 200,431.44, 275,965.92 and 170,154

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Solution

The fourth proportional to 200,431.44, 275,965.92 and 170,154 is: 234,278.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,431.44 : 275,965.92 = 170,154 : x
  2. Step 2: Convert to fraction form
    200,431.44/275,965.92 = 170,154/x
  3. Step 3: Cross multiply
    200,431.44x = 275,965.92 × 170,154
  4. Step 4: Simplify right side
    200,431.44x = 46,956,705,151.68
  5. Step 5: Solve for x
    x = 46,956,705,151.68/200,431.44
  6. Step 6: Final answer
    x = 234,278.14

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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.