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Finding the Fourth Proportional to 643,563.72, 965,296.98 and 264,381.12

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Solution

The fourth proportional to 643,563.72, 965,296.98 and 264,381.12 is: 396,551.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,563.72 : 965,296.98 = 264,381.12 : x
  2. Step 2: Convert to fraction form
    643,563.72/965,296.98 = 264,381.12/x
  3. Step 3: Cross multiply
    643,563.72x = 965,296.98 × 264,381.12
  4. Step 4: Simplify right side
    643,563.72x = 255,206,296,705.02
  5. Step 5: Solve for x
    x = 255,206,296,705.02/643,563.72
  6. Step 6: Final answer
    x = 396,551.71

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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.