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Finding the Fourth Proportional to 414,279, 621,166.92 and 270,291.78

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Solution

The fourth proportional to 414,279, 621,166.92 and 270,291.78 is: 405,273.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,279 : 621,166.92 = 270,291.78 : x
  2. Step 2: Convert to fraction form
    414,279/621,166.92 = 270,291.78/x
  3. Step 3: Cross multiply
    414,279x = 621,166.92 × 270,291.78
  4. Step 4: Simplify right side
    414,279x = 167,896,312,483.92
  5. Step 5: Solve for x
    x = 167,896,312,483.92/414,279
  6. Step 6: Final answer
    x = 405,273.53

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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.