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Finding the Fourth Proportional to 643,583.26, 965,421.06 and 170,263

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Solution

The fourth proportional to 643,583.26, 965,421.06 and 170,263 is: 255,406.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,583.26 : 965,421.06 = 170,263 : x
  2. Step 2: Convert to fraction form
    643,583.26/965,421.06 = 170,263/x
  3. Step 3: Cross multiply
    643,583.26x = 965,421.06 × 170,263
  4. Step 4: Simplify right side
    643,583.26x = 164,375,485,938.78
  5. Step 5: Solve for x
    x = 164,375,485,938.78/643,583.26
  6. Step 6: Final answer
    x = 255,406.71

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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.