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Finding the Fourth Proportional to 289,308.44, 399,279.76 and 161,959.44

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Solution

The fourth proportional to 289,308.44, 399,279.76 and 161,959.44 is: 223,523.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,308.44 : 399,279.76 = 161,959.44 : x
  2. Step 2: Convert to fraction form
    289,308.44/399,279.76 = 161,959.44/x
  3. Step 3: Cross multiply
    289,308.44x = 399,279.76 × 161,959.44
  4. Step 4: Simplify right side
    289,308.44x = 64,667,126,332.93
  5. Step 5: Solve for x
    x = 64,667,126,332.93/289,308.44
  6. Step 6: Final answer
    x = 223,523.12

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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.