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Finding the Fourth Proportional to 288,288.85, 432,082.32 and 204,072.88

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Solution

The fourth proportional to 288,288.85, 432,082.32 and 204,072.88 is: 305,860.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,288.85 : 432,082.32 = 204,072.88 : x
  2. Step 2: Convert to fraction form
    288,288.85/432,082.32 = 204,072.88/x
  3. Step 3: Cross multiply
    288,288.85x = 432,082.32 × 204,072.88
  4. Step 4: Simplify right side
    288,288.85x = 88,176,283,439.48
  5. Step 5: Solve for x
    x = 88,176,283,439.48/288,288.85
  6. Step 6: Final answer
    x = 305,860.89

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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.