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Finding the Fourth Proportional to 288,960.96, 398,796.16 and 166,457.56

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Solution

The fourth proportional to 288,960.96, 398,796.16 and 166,457.56 is: 229,728.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,960.96 : 398,796.16 = 166,457.56 : x
  2. Step 2: Convert to fraction form
    288,960.96/398,796.16 = 166,457.56/x
  3. Step 3: Cross multiply
    288,960.96x = 398,796.16 × 166,457.56
  4. Step 4: Simplify right side
    288,960.96x = 66,382,635,730.97
  5. Step 5: Solve for x
    x = 66,382,635,730.97/288,960.96
  6. Step 6: Final answer
    x = 229,728.73

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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.