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Finding the Fourth Proportional to 398,603.30, 597,589.20 and 198,820.85

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Solution

The fourth proportional to 398,603.30, 597,589.20 and 198,820.85 is: 298,073.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,603.30 : 597,589.20 = 198,820.85 : x
  2. Step 2: Convert to fraction form
    398,603.30/597,589.20 = 198,820.85/x
  3. Step 3: Cross multiply
    398,603.30x = 597,589.20 × 198,820.85
  4. Step 4: Simplify right side
    398,603.30x = 118,813,191,947.83
  5. Step 5: Solve for x
    x = 118,813,191,947.83/398,603.30
  6. Step 6: Final answer
    x = 298,073.78

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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.