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Finding the Fourth Proportional to 218,256, 327,434.76 and 68,488.08

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Solution

The fourth proportional to 218,256, 327,434.76 and 68,488.08 is: 102,748.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,256 : 327,434.76 = 68,488.08 : x
  2. Step 2: Convert to fraction form
    218,256/327,434.76 = 68,488.08/x
  3. Step 3: Cross multiply
    218,256x = 327,434.76 × 68,488.08
  4. Step 4: Simplify right side
    218,256x = 22,425,378,037.66
  5. Step 5: Solve for x
    x = 22,425,378,037.66/218,256
  6. Step 6: Final answer
    x = 102,748.05

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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.