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Finding the Fourth Proportional to 643,134.44, 965,279.84 and 343,870.82

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Solution

The fourth proportional to 643,134.44, 965,279.84 and 343,870.82 is: 516,115.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,134.44 : 965,279.84 = 343,870.82 : x
  2. Step 2: Convert to fraction form
    643,134.44/965,279.84 = 343,870.82/x
  3. Step 3: Cross multiply
    643,134.44x = 965,279.84 × 343,870.82
  4. Step 4: Simplify right side
    643,134.44x = 331,931,570,110.27
  5. Step 5: Solve for x
    x = 331,931,570,110.27/643,134.44
  6. Step 6: Final answer
    x = 516,115.37

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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.