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Finding the Fourth Proportional to 288,414.81, 398,020.46 and 159,361.60

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Solution

The fourth proportional to 288,414.81, 398,020.46 and 159,361.60 is: 219,923.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,414.81 : 398,020.46 = 159,361.60 : x
  2. Step 2: Convert to fraction form
    288,414.81/398,020.46 = 159,361.60/x
  3. Step 3: Cross multiply
    288,414.81x = 398,020.46 × 159,361.60
  4. Step 4: Simplify right side
    288,414.81x = 63,429,177,338.34
  5. Step 5: Solve for x
    x = 63,429,177,338.34/288,414.81
  6. Step 6: Final answer
    x = 219,923.44

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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.