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Finding the Fourth Proportional to 288,057.20, 431,308.20 and 225,849.20

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Solution

The fourth proportional to 288,057.20, 431,308.20 and 225,849.20 is: 338,164.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,057.20 : 431,308.20 = 225,849.20 : x
  2. Step 2: Convert to fraction form
    288,057.20/431,308.20 = 225,849.20/x
  3. Step 3: Cross multiply
    288,057.20x = 431,308.20 × 225,849.20
  4. Step 4: Simplify right side
    288,057.20x = 97,410,611,923.44
  5. Step 5: Solve for x
    x = 97,410,611,923.44/288,057.20
  6. Step 6: Final answer
    x = 338,164.13

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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.