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Finding the Fourth Proportional to 288,135.56, 431,853.39 and 203,920.34

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Solution

The fourth proportional to 288,135.56, 431,853.39 and 203,920.34 is: 305,632.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,135.56 : 431,853.39 = 203,920.34 : x
  2. Step 2: Convert to fraction form
    288,135.56/431,853.39 = 203,920.34/x
  3. Step 3: Cross multiply
    288,135.56x = 431,853.39 × 203,920.34
  4. Step 4: Simplify right side
    288,135.56x = 88,063,690,118.95
  5. Step 5: Solve for x
    x = 88,063,690,118.95/288,135.56
  6. Step 6: Final answer
    x = 305,632.84

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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.