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Finding the Fourth Proportional to 288,697.38, 433,226.49 and 138,953.49

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Solution

The fourth proportional to 288,697.38, 433,226.49 and 138,953.49 is: 208,517.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,697.38 : 433,226.49 = 138,953.49 : x
  2. Step 2: Convert to fraction form
    288,697.38/433,226.49 = 138,953.49/x
  3. Step 3: Cross multiply
    288,697.38x = 433,226.49 × 138,953.49
  4. Step 4: Simplify right side
    288,697.38x = 60,198,332,745.95
  5. Step 5: Solve for x
    x = 60,198,332,745.95/288,697.38
  6. Step 6: Final answer
    x = 208,517.07

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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.