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Finding the Fourth Proportional to 281,324, 422,089.68 and 148,198.88

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Solution

The fourth proportional to 281,324, 422,089.68 and 148,198.88 is: 222,352.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,324 : 422,089.68 = 148,198.88 : x
  2. Step 2: Convert to fraction form
    281,324/422,089.68 = 148,198.88/x
  3. Step 3: Cross multiply
    281,324x = 422,089.68 × 148,198.88
  4. Step 4: Simplify right side
    281,324x = 62,553,217,835.56
  5. Step 5: Solve for x
    x = 62,553,217,835.56/281,324
  6. Step 6: Final answer
    x = 222,352.94

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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.