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Finding the Fourth Proportional to 408,238.30, 611,207.25 and 308,080.18

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Solution

The fourth proportional to 408,238.30, 611,207.25 and 308,080.18 is: 461,252.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,238.30 : 611,207.25 = 308,080.18 : x
  2. Step 2: Convert to fraction form
    408,238.30/611,207.25 = 308,080.18/x
  3. Step 3: Cross multiply
    408,238.30x = 611,207.25 × 308,080.18
  4. Step 4: Simplify right side
    408,238.30x = 188,300,839,597.31
  5. Step 5: Solve for x
    x = 188,300,839,597.31/408,238.30
  6. Step 6: Final answer
    x = 461,252.26

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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.