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Finding the Fourth Proportional to 442,609.77, 663,898.89 and 143,082.49

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Solution

The fourth proportional to 442,609.77, 663,898.89 and 143,082.49 is: 214,618.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,609.77 : 663,898.89 = 143,082.49 : x
  2. Step 2: Convert to fraction form
    442,609.77/663,898.89 = 143,082.49/x
  3. Step 3: Cross multiply
    442,609.77x = 663,898.89 × 143,082.49
  4. Step 4: Simplify right side
    442,609.77x = 94,992,306,289.44
  5. Step 5: Solve for x
    x = 94,992,306,289.44/442,609.77
  6. Step 6: Final answer
    x = 214,618.64

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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.