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Finding the Fourth Proportional to 288,642.81, 398,327.66 and 161,318.40

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Solution

The fourth proportional to 288,642.81, 398,327.66 and 161,318.40 is: 222,619.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,642.81 : 398,327.66 = 161,318.40 : x
  2. Step 2: Convert to fraction form
    288,642.81/398,327.66 = 161,318.40/x
  3. Step 3: Cross multiply
    288,642.81x = 398,327.66 × 161,318.40
  4. Step 4: Simplify right side
    288,642.81x = 64,257,580,786.94
  5. Step 5: Solve for x
    x = 64,257,580,786.94/288,642.81
  6. Step 6: Final answer
    x = 222,619.72

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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.