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Finding the Fourth Proportional to 398,427.20, 597,640.80 and 149,076.80

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Solution

The fourth proportional to 398,427.20, 597,640.80 and 149,076.80 is: 223,615.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,427.20 : 597,640.80 = 149,076.80 : x
  2. Step 2: Convert to fraction form
    398,427.20/597,640.80 = 149,076.80/x
  3. Step 3: Cross multiply
    398,427.20x = 597,640.80 × 149,076.80
  4. Step 4: Simplify right side
    398,427.20x = 89,094,378,013.44
  5. Step 5: Solve for x
    x = 89,094,378,013.44/398,427.20
  6. Step 6: Final answer
    x = 223,615.20

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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.