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Finding the Fourth Proportional to 288,908.80, 433,487.26 and 111,540.38

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Solution

The fourth proportional to 288,908.80, 433,487.26 and 111,540.38 is: 167,358.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,908.80 : 433,487.26 = 111,540.38 : x
  2. Step 2: Convert to fraction form
    288,908.80/433,487.26 = 111,540.38/x
  3. Step 3: Cross multiply
    288,908.80x = 433,487.26 × 111,540.38
  4. Step 4: Simplify right side
    288,908.80x = 48,351,333,705.56
  5. Step 5: Solve for x
    x = 48,351,333,705.56/288,908.80
  6. Step 6: Final answer
    x = 167,358.47

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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.