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Finding the Fourth Proportional to 288,954.29, 398,735.27 and 161,605.28

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Solution

The fourth proportional to 288,954.29, 398,735.27 and 161,605.28 is: 223,003.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,954.29 : 398,735.27 = 161,605.28 : x
  2. Step 2: Convert to fraction form
    288,954.29/398,735.27 = 161,605.28/x
  3. Step 3: Cross multiply
    288,954.29x = 398,735.27 × 161,605.28
  4. Step 4: Simplify right side
    288,954.29x = 64,437,724,954.23
  5. Step 5: Solve for x
    x = 64,437,724,954.23/288,954.29
  6. Step 6: Final answer
    x = 223,003.18

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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.