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Finding the Fourth Proportional to 218,720.14, 299,865.29 and 214,734.34

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Solution

The fourth proportional to 218,720.14, 299,865.29 and 214,734.34 is: 294,400.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,720.14 : 299,865.29 = 214,734.34 : x
  2. Step 2: Convert to fraction form
    218,720.14/299,865.29 = 214,734.34/x
  3. Step 3: Cross multiply
    218,720.14x = 299,865.29 × 214,734.34
  4. Step 4: Simplify right side
    218,720.14x = 64,391,375,137.06
  5. Step 5: Solve for x
    x = 64,391,375,137.06/218,720.14
  6. Step 6: Final answer
    x = 294,400.76

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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.