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Finding the Fourth Proportional to 414,188.26, 621,189.44 and 161,382

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Solution

The fourth proportional to 414,188.26, 621,189.44 and 161,382 is: 242,036.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,188.26 : 621,189.44 = 161,382 : x
  2. Step 2: Convert to fraction form
    414,188.26/621,189.44 = 161,382/x
  3. Step 3: Cross multiply
    414,188.26x = 621,189.44 × 161,382
  4. Step 4: Simplify right side
    414,188.26x = 100,248,794,206.08
  5. Step 5: Solve for x
    x = 100,248,794,206.08/414,188.26
  6. Step 6: Final answer
    x = 242,036.78

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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.