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Finding the Fourth Proportional to 643,728.20, 965,765.10 and 574,089.80

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Solution

The fourth proportional to 643,728.20, 965,765.10 and 574,089.80 is: 861,288.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,728.20 : 965,765.10 = 574,089.80 : x
  2. Step 2: Convert to fraction form
    643,728.20/965,765.10 = 574,089.80/x
  3. Step 3: Cross multiply
    643,728.20x = 965,765.10 × 574,089.80
  4. Step 4: Simplify right side
    643,728.20x = 554,435,893,105.98
  5. Step 5: Solve for x
    x = 554,435,893,105.98/643,728.20
  6. Step 6: Final answer
    x = 861,288.81

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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.