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Finding the Fourth Proportional to 431,381.70, 647,072.55 and 221,429.70

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Solution

The fourth proportional to 431,381.70, 647,072.55 and 221,429.70 is: 332,144.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,381.70 : 647,072.55 = 221,429.70 : x
  2. Step 2: Convert to fraction form
    431,381.70/647,072.55 = 221,429.70/x
  3. Step 3: Cross multiply
    431,381.70x = 647,072.55 × 221,429.70
  4. Step 4: Simplify right side
    431,381.70x = 143,281,080,624.74
  5. Step 5: Solve for x
    x = 143,281,080,624.74/431,381.70
  6. Step 6: Final answer
    x = 332,144.55

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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.