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Finding the Fourth Proportional to 288,687.66, 398,378.24 and 161,365.38

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Solution

The fourth proportional to 288,687.66, 398,378.24 and 161,365.38 is: 222,678.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,687.66 : 398,378.24 = 161,365.38 : x
  2. Step 2: Convert to fraction form
    288,687.66/398,378.24 = 161,365.38/x
  3. Step 3: Cross multiply
    288,687.66x = 398,378.24 × 161,365.38
  4. Step 4: Simplify right side
    288,687.66x = 64,284,456,081.33
  5. Step 5: Solve for x
    x = 64,284,456,081.33/288,687.66
  6. Step 6: Final answer
    x = 222,678.23

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1.5x scale

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.