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Finding the Fourth Proportional to 431,782.62, 647,354.03 and 206,928.96

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Solution

The fourth proportional to 431,782.62, 647,354.03 and 206,928.96 is: 310,240.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,782.62 : 647,354.03 = 206,928.96 : x
  2. Step 2: Convert to fraction form
    431,782.62/647,354.03 = 206,928.96/x
  3. Step 3: Cross multiply
    431,782.62x = 647,354.03 × 206,928.96
  4. Step 4: Simplify right side
    431,782.62x = 133,956,295,145.06
  5. Step 5: Solve for x
    x = 133,956,295,145.06/431,782.62
  6. Step 6: Final answer
    x = 310,240.13

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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.