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Finding the Fourth Proportional to 409,387.13, 613,996.11 and 109,796.49

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Solution

The fourth proportional to 409,387.13, 613,996.11 and 109,796.49 is: 164,672.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,387.13 : 613,996.11 = 109,796.49 : x
  2. Step 2: Convert to fraction form
    409,387.13/613,996.11 = 109,796.49/x
  3. Step 3: Cross multiply
    409,387.13x = 613,996.11 × 109,796.49
  4. Step 4: Simplify right side
    409,387.13x = 67,414,617,751.65
  5. Step 5: Solve for x
    x = 67,414,617,751.65/409,387.13
  6. Step 6: Final answer
    x = 164,672.05

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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.