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Finding the Fourth Proportional to 576,082.80, 864,124.20 and 408,121.20

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Solution

The fourth proportional to 576,082.80, 864,124.20 and 408,121.20 is: 612,181.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,082.80 : 864,124.20 = 408,121.20 : x
  2. Step 2: Convert to fraction form
    576,082.80/864,124.20 = 408,121.20/x
  3. Step 3: Cross multiply
    576,082.80x = 864,124.20 × 408,121.20
  4. Step 4: Simplify right side
    576,082.80x = 352,667,405,453.04
  5. Step 5: Solve for x
    x = 352,667,405,453.04/576,082.80
  6. Step 6: Final answer
    x = 612,181.80

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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.