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Finding the Fourth Proportional to 408,661.73, 613,046.16 and 135,017.03

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Solution

The fourth proportional to 408,661.73, 613,046.16 and 135,017.03 is: 202,543.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,661.73 : 613,046.16 = 135,017.03 : x
  2. Step 2: Convert to fraction form
    408,661.73/613,046.16 = 135,017.03/x
  3. Step 3: Cross multiply
    408,661.73x = 613,046.16 × 135,017.03
  4. Step 4: Simplify right side
    408,661.73x = 82,771,669,905.95
  5. Step 5: Solve for x
    x = 82,771,669,905.95/408,661.73
  6. Step 6: Final answer
    x = 202,543.24

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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.