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Finding the Fourth Proportional to 408,241.32, 611,211.72 and 308,083.20

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Solution

The fourth proportional to 408,241.32, 611,211.72 and 308,083.20 is: 461,256.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,241.32 : 611,211.72 = 308,083.20 : x
  2. Step 2: Convert to fraction form
    408,241.32/611,211.72 = 308,083.20/x
  3. Step 3: Cross multiply
    408,241.32x = 611,211.72 × 308,083.20
  4. Step 4: Simplify right side
    408,241.32x = 188,304,062,575.10
  5. Step 5: Solve for x
    x = 188,304,062,575.10/408,241.32
  6. Step 6: Final answer
    x = 461,256.75

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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.