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Finding the Fourth Proportional to 398,409.40, 597,954.30 and 161,921.80

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Solution

The fourth proportional to 398,409.40, 597,954.30 and 161,921.80 is: 243,020.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,409.40 : 597,954.30 = 161,921.80 : x
  2. Step 2: Convert to fraction form
    398,409.40/597,954.30 = 161,921.80/x
  3. Step 3: Cross multiply
    398,409.40x = 597,954.30 × 161,921.80
  4. Step 4: Simplify right side
    398,409.40x = 96,821,836,573.74
  5. Step 5: Solve for x
    x = 96,821,836,573.74/398,409.40
  6. Step 6: Final answer
    x = 243,020.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.