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Finding the Fourth Proportional to 295,279.92, 407,486.18 and 161,143.92

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Solution

The fourth proportional to 295,279.92, 407,486.18 and 161,143.92 is: 222,378.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,279.92 : 407,486.18 = 161,143.92 : x
  2. Step 2: Convert to fraction form
    295,279.92/407,486.18 = 161,143.92/x
  3. Step 3: Cross multiply
    295,279.92x = 407,486.18 × 161,143.92
  4. Step 4: Simplify right side
    295,279.92x = 65,663,919,585.31
  5. Step 5: Solve for x
    x = 65,663,919,585.31/295,279.92
  6. Step 6: Final answer
    x = 222,378.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.