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Finding the Fourth Proportional to 470,846.72, 649,773.09 and 255,991.40

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Solution

The fourth proportional to 470,846.72, 649,773.09 and 255,991.40 is: 353,270.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,846.72 : 649,773.09 = 255,991.40 : x
  2. Step 2: Convert to fraction form
    470,846.72/649,773.09 = 255,991.40/x
  3. Step 3: Cross multiply
    470,846.72x = 649,773.09 × 255,991.40
  4. Step 4: Simplify right side
    470,846.72x = 166,336,322,991.43
  5. Step 5: Solve for x
    x = 166,336,322,991.43/470,846.72
  6. Step 6: Final answer
    x = 353,270.64

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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.