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Finding the Fourth Proportional to 288,092.14, 397,570.17 and 160,765

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Solution

The fourth proportional to 288,092.14, 397,570.17 and 160,765 is: 221,857.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,092.14 : 397,570.17 = 160,765 : x
  2. Step 2: Convert to fraction form
    288,092.14/397,570.17 = 160,765/x
  3. Step 3: Cross multiply
    288,092.14x = 397,570.17 × 160,765
  4. Step 4: Simplify right side
    288,092.14x = 63,915,368,380.05
  5. Step 5: Solve for x
    x = 63,915,368,380.05/288,092.14
  6. Step 6: Final answer
    x = 221,857.38

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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.