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Finding the Fourth Proportional to 414,920.80, 622,688.40 and 165,781.60

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Solution

The fourth proportional to 414,920.80, 622,688.40 and 165,781.60 is: 248,795.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,920.80 : 622,688.40 = 165,781.60 : x
  2. Step 2: Convert to fraction form
    414,920.80/622,688.40 = 165,781.60/x
  3. Step 3: Cross multiply
    414,920.80x = 622,688.40 × 165,781.60
  4. Step 4: Simplify right side
    414,920.80x = 103,230,279,253.44
  5. Step 5: Solve for x
    x = 103,230,279,253.44/414,920.80
  6. Step 6: Final answer
    x = 248,795.14

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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.