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Finding the Fourth Proportional to 498,496.80, 747,745.20 and 199,023.60

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Solution

The fourth proportional to 498,496.80, 747,745.20 and 199,023.60 is: 298,535.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,496.80 : 747,745.20 = 199,023.60 : x
  2. Step 2: Convert to fraction form
    498,496.80/747,745.20 = 199,023.60/x
  3. Step 3: Cross multiply
    498,496.80x = 747,745.20 × 199,023.60
  4. Step 4: Simplify right side
    498,496.80x = 148,818,941,586.72
  5. Step 5: Solve for x
    x = 148,818,941,586.72/498,496.80
  6. Step 6: Final answer
    x = 298,535.40

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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.