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Finding the Fourth Proportional to 398,469.28, 597,687.24 and 98,943.40

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Solution

The fourth proportional to 398,469.28, 597,687.24 and 98,943.40 is: 148,410.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,469.28 : 597,687.24 = 98,943.40 : x
  2. Step 2: Convert to fraction form
    398,469.28/597,687.24 = 98,943.40/x
  3. Step 3: Cross multiply
    398,469.28x = 597,687.24 × 98,943.40
  4. Step 4: Simplify right side
    398,469.28x = 59,137,207,662.22
  5. Step 5: Solve for x
    x = 59,137,207,662.22/398,469.28
  6. Step 6: Final answer
    x = 148,410.96

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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.