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Finding the Fourth Proportional to 431,940.02, 647,910.10 and 221,443.70

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Solution

The fourth proportional to 431,940.02, 647,910.10 and 221,443.70 is: 332,165.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,940.02 : 647,910.10 = 221,443.70 : x
  2. Step 2: Convert to fraction form
    431,940.02/647,910.10 = 221,443.70/x
  3. Step 3: Cross multiply
    431,940.02x = 647,910.10 × 221,443.70
  4. Step 4: Simplify right side
    431,940.02x = 143,475,609,811.37
  5. Step 5: Solve for x
    x = 143,475,609,811.37/431,940.02
  6. Step 6: Final answer
    x = 332,165.59

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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.