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Finding the Fourth Proportional to 422,521.21, 633,775.83 and 102,675.43

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Solution

The fourth proportional to 422,521.21, 633,775.83 and 102,675.43 is: 154,011.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,521.21 : 633,775.83 = 102,675.43 : x
  2. Step 2: Convert to fraction form
    422,521.21/633,775.83 = 102,675.43/x
  3. Step 3: Cross multiply
    422,521.21x = 633,775.83 × 102,675.43
  4. Step 4: Simplify right side
    422,521.21x = 65,073,205,868.86
  5. Step 5: Solve for x
    x = 65,073,205,868.86/422,521.21
  6. Step 6: Final answer
    x = 154,011.69

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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.