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Finding the Fourth Proportional to 414,377.28, 621,473.76 and 161,664.48

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Solution

The fourth proportional to 414,377.28, 621,473.76 and 161,664.48 is: 242,460.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,377.28 : 621,473.76 = 161,664.48 : x
  2. Step 2: Convert to fraction form
    414,377.28/621,473.76 = 161,664.48/x
  3. Step 3: Cross multiply
    414,377.28x = 621,473.76 × 161,664.48
  4. Step 4: Simplify right side
    414,377.28x = 100,470,232,244.05
  5. Step 5: Solve for x
    x = 100,470,232,244.05/414,377.28
  6. Step 6: Final answer
    x = 242,460.76

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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.