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Finding the Fourth Proportional to 411,193.64, 616,930.48 and 221,672.32

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Solution

The fourth proportional to 411,193.64, 616,930.48 and 221,672.32 is: 332,583.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,193.64 : 616,930.48 = 221,672.32 : x
  2. Step 2: Convert to fraction form
    411,193.64/616,930.48 = 221,672.32/x
  3. Step 3: Cross multiply
    411,193.64x = 616,930.48 × 221,672.32
  4. Step 4: Simplify right side
    411,193.64x = 136,756,410,780.31
  5. Step 5: Solve for x
    x = 136,756,410,780.31/411,193.64
  6. Step 6: Final answer
    x = 332,583.96

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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.