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Finding the Fourth Proportional to 641,410.26, 962,105.28 and 220,689.78

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Solution

The fourth proportional to 641,410.26, 962,105.28 and 220,689.78 is: 331,031.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,410.26 : 962,105.28 = 220,689.78 : x
  2. Step 2: Convert to fraction form
    641,410.26/962,105.28 = 220,689.78/x
  3. Step 3: Cross multiply
    641,410.26x = 962,105.28 × 220,689.78
  4. Step 4: Simplify right side
    641,410.26x = 212,326,802,580.04
  5. Step 5: Solve for x
    x = 212,326,802,580.04/641,410.26
  6. Step 6: Final answer
    x = 331,031.19

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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.