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Finding the Fourth Proportional to 643,601.70, 964,542.74 and 339,375.42

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Solution

The fourth proportional to 643,601.70, 964,542.74 and 339,375.42 is: 508,609.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,601.70 : 964,542.74 = 339,375.42 : x
  2. Step 2: Convert to fraction form
    643,601.70/964,542.74 = 339,375.42/x
  3. Step 3: Cross multiply
    643,601.70x = 964,542.74 × 339,375.42
  4. Step 4: Simplify right side
    643,601.70x = 327,342,095,798.57
  5. Step 5: Solve for x
    x = 327,342,095,798.57/643,601.70
  6. Step 6: Final answer
    x = 508,609.74

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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.