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Finding the Fourth Proportional to 260,163.72, 389,608.68 and 214,908.20

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Solution

The fourth proportional to 260,163.72, 389,608.68 and 214,908.20 is: 321,836.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,163.72 : 389,608.68 = 214,908.20 : x
  2. Step 2: Convert to fraction form
    260,163.72/389,608.68 = 214,908.20/x
  3. Step 3: Cross multiply
    260,163.72x = 389,608.68 × 214,908.20
  4. Step 4: Simplify right side
    260,163.72x = 83,730,100,123.18
  5. Step 5: Solve for x
    x = 83,730,100,123.18/260,163.72
  6. Step 6: Final answer
    x = 321,836.19

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1.5x scale

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.