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Finding the Fourth Proportional to 442,065.56, 663,227.73 and 142,540.11

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Solution

The fourth proportional to 442,065.56, 663,227.73 and 142,540.11 is: 213,851.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,065.56 : 663,227.73 = 142,540.11 : x
  2. Step 2: Convert to fraction form
    442,065.56/663,227.73 = 142,540.11/x
  3. Step 3: Cross multiply
    442,065.56x = 663,227.73 × 142,540.11
  4. Step 4: Simplify right side
    442,065.56x = 94,536,553,589.25
  5. Step 5: Solve for x
    x = 94,536,553,589.25/442,065.56
  6. Step 6: Final answer
    x = 213,851.89

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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.