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Finding the Fourth Proportional to 398,604.80, 597,591.45 and 198,822.35

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Solution

The fourth proportional to 398,604.80, 597,591.45 and 198,822.35 is: 298,076.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,604.80 : 597,591.45 = 198,822.35 : x
  2. Step 2: Convert to fraction form
    398,604.80/597,591.45 = 198,822.35/x
  3. Step 3: Cross multiply
    398,604.80x = 597,591.45 × 198,822.35
  4. Step 4: Simplify right side
    398,604.80x = 118,814,533,440.95
  5. Step 5: Solve for x
    x = 118,814,533,440.95/398,604.80
  6. Step 6: Final answer
    x = 298,076.03

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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.