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Finding the Fourth Proportional to 218,715.14, 299,858.42 and 214,729.34

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Solution

The fourth proportional to 218,715.14, 299,858.42 and 214,729.34 is: 294,393.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,715.14 : 299,858.42 = 214,729.34 : x
  2. Step 2: Convert to fraction form
    218,715.14/299,858.42 = 214,729.34/x
  3. Step 3: Cross multiply
    218,715.14x = 299,858.42 × 214,729.34
  4. Step 4: Simplify right side
    218,715.14x = 64,388,400,620.04
  5. Step 5: Solve for x
    x = 64,388,400,620.04/218,715.14
  6. Step 6: Final answer
    x = 294,393.89

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1.5x scale

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.