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Finding the Fourth Proportional to 469,469.88, 647,860.14 and 268,261.56

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Solution

The fourth proportional to 469,469.88, 647,860.14 and 268,261.56 is: 370,196.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,469.88 : 647,860.14 = 268,261.56 : x
  2. Step 2: Convert to fraction form
    469,469.88/647,860.14 = 268,261.56/x
  3. Step 3: Cross multiply
    469,469.88x = 647,860.14 × 268,261.56
  4. Step 4: Simplify right side
    469,469.88x = 173,795,971,818.22
  5. Step 5: Solve for x
    x = 173,795,971,818.22/469,469.88
  6. Step 6: Final answer
    x = 370,196.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.