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Finding the Fourth Proportional to 288,768.66, 433,226.81 and 111,228

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Solution

The fourth proportional to 288,768.66, 433,226.81 and 111,228 is: 166,870.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,768.66 : 433,226.81 = 111,228 : x
  2. Step 2: Convert to fraction form
    288,768.66/433,226.81 = 111,228/x
  3. Step 3: Cross multiply
    288,768.66x = 433,226.81 × 111,228
  4. Step 4: Simplify right side
    288,768.66x = 48,186,951,622.68
  5. Step 5: Solve for x
    x = 48,186,951,622.68/288,768.66
  6. Step 6: Final answer
    x = 166,870.43

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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.