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Finding the Fourth Proportional to 431,366.70, 647,050.05 and 221,414.70

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Solution

The fourth proportional to 431,366.70, 647,050.05 and 221,414.70 is: 332,122.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,366.70 : 647,050.05 = 221,414.70 : x
  2. Step 2: Convert to fraction form
    431,366.70/647,050.05 = 221,414.70/x
  3. Step 3: Cross multiply
    431,366.70x = 647,050.05 × 221,414.70
  4. Step 4: Simplify right side
    431,366.70x = 143,266,392,705.74
  5. Step 5: Solve for x
    x = 143,266,392,705.74/431,366.70
  6. Step 6: Final answer
    x = 332,122.05

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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.