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Finding the Fourth Proportional to 421,519.52, 632,278.56 and 196,804.64

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Solution

The fourth proportional to 421,519.52, 632,278.56 and 196,804.64 is: 295,206.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,519.52 : 632,278.56 = 196,804.64 : x
  2. Step 2: Convert to fraction form
    421,519.52/632,278.56 = 196,804.64/x
  3. Step 3: Cross multiply
    421,519.52x = 632,278.56 × 196,804.64
  4. Step 4: Simplify right side
    421,519.52x = 124,435,354,380.52
  5. Step 5: Solve for x
    x = 124,435,354,380.52/421,519.52
  6. Step 6: Final answer
    x = 295,206.62

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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.