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Finding the Fourth Proportional to 643,658.20, 965,660.10 and 574,019.80

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Solution

The fourth proportional to 643,658.20, 965,660.10 and 574,019.80 is: 861,183.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,658.20 : 965,660.10 = 574,019.80 : x
  2. Step 2: Convert to fraction form
    643,658.20/965,660.10 = 574,019.80/x
  3. Step 3: Cross multiply
    643,658.20x = 965,660.10 × 574,019.80
  4. Step 4: Simplify right side
    643,658.20x = 554,308,017,469.98
  5. Step 5: Solve for x
    x = 554,308,017,469.98/643,658.20
  6. Step 6: Final answer
    x = 861,183.80

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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.