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Finding the Fourth Proportional to 409,273.97, 613,705.07 and 238,550.54

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Solution

The fourth proportional to 409,273.97, 613,705.07 and 238,550.54 is: 357,705.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,273.97 : 613,705.07 = 238,550.54 : x
  2. Step 2: Convert to fraction form
    409,273.97/613,705.07 = 238,550.54/x
  3. Step 3: Cross multiply
    409,273.97x = 613,705.07 × 238,550.54
  4. Step 4: Simplify right side
    409,273.97x = 146,399,673,377.09
  5. Step 5: Solve for x
    x = 146,399,673,377.09/409,273.97
  6. Step 6: Final answer
    x = 357,705.81

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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.