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Finding the Fourth Proportional to 288,954.72, 398,787.30 and 166,451.22

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Solution

The fourth proportional to 288,954.72, 398,787.30 and 166,451.22 is: 229,719.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,954.72 : 398,787.30 = 166,451.22 : x
  2. Step 2: Convert to fraction form
    288,954.72/398,787.30 = 166,451.22/x
  3. Step 3: Cross multiply
    288,954.72x = 398,787.30 × 166,451.22
  4. Step 4: Simplify right side
    288,954.72x = 66,378,632,605.51
  5. Step 5: Solve for x
    x = 66,378,632,605.51/288,954.72
  6. Step 6: Final answer
    x = 229,719.84

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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.