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Finding the Fourth Proportional to 471,011.72, 649,990.06 and 256,147.21

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Solution

The fourth proportional to 471,011.72, 649,990.06 and 256,147.21 is: 353,479.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,011.72 : 649,990.06 = 256,147.21 : x
  2. Step 2: Convert to fraction form
    471,011.72/649,990.06 = 256,147.21/x
  3. Step 3: Cross multiply
    471,011.72x = 649,990.06 × 256,147.21
  4. Step 4: Simplify right side
    471,011.72x = 166,493,140,396.73
  5. Step 5: Solve for x
    x = 166,493,140,396.73/471,011.72
  6. Step 6: Final answer
    x = 353,479.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.