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Finding the Fourth Proportional to 442,054.39, 663,081.57 and 161,571.64

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Solution

The fourth proportional to 442,054.39, 663,081.57 and 161,571.64 is: 242,357.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,054.39 : 663,081.57 = 161,571.64 : x
  2. Step 2: Convert to fraction form
    442,054.39/663,081.57 = 161,571.64/x
  3. Step 3: Cross multiply
    442,054.39x = 663,081.57 × 161,571.64
  4. Step 4: Simplify right side
    442,054.39x = 107,135,176,718.68
  5. Step 5: Solve for x
    x = 107,135,176,718.68/442,054.39
  6. Step 6: Final answer
    x = 242,357.45

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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.