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Finding the Fourth Proportional to 398,256.80, 597,372.40 and 132,029.60

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Solution

The fourth proportional to 398,256.80, 597,372.40 and 132,029.60 is: 198,040.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,256.80 : 597,372.40 = 132,029.60 : x
  2. Step 2: Convert to fraction form
    398,256.80/597,372.40 = 132,029.60/x
  3. Step 3: Cross multiply
    398,256.80x = 597,372.40 × 132,029.60
  4. Step 4: Simplify right side
    398,256.80x = 78,870,839,023.04
  5. Step 5: Solve for x
    x = 78,870,839,023.04/398,256.80
  6. Step 6: Final answer
    x = 198,040.16

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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.