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Finding the Fourth Proportional to 398,212.80, 597,311.52 and 98,694

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Solution

The fourth proportional to 398,212.80, 597,311.52 and 98,694 is: 148,039.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,212.80 : 597,311.52 = 98,694 : x
  2. Step 2: Convert to fraction form
    398,212.80/597,311.52 = 98,694/x
  3. Step 3: Cross multiply
    398,212.80x = 597,311.52 × 98,694
  4. Step 4: Simplify right side
    398,212.80x = 58,951,063,154.88
  5. Step 5: Solve for x
    x = 58,951,063,154.88/398,212.80
  6. Step 6: Final answer
    x = 148,039.10

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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.