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Finding the Fourth Proportional to 218,709.14, 299,850.20 and 214,723.34

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Solution

The fourth proportional to 218,709.14, 299,850.20 and 214,723.34 is: 294,385.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,709.14 : 299,850.20 = 214,723.34 : x
  2. Step 2: Convert to fraction form
    218,709.14/299,850.20 = 214,723.34/x
  3. Step 3: Cross multiply
    218,709.14x = 299,850.20 × 214,723.34
  4. Step 4: Simplify right side
    218,709.14x = 64,384,834,944.42
  5. Step 5: Solve for x
    x = 64,384,834,944.42/218,709.14
  6. Step 6: Final answer
    x = 294,385.66

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.