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Finding the Fourth Proportional to 470,912.59, 649,850.20 and 256,050.78

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Solution

The fourth proportional to 470,912.59, 649,850.20 and 256,050.78 is: 353,345.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,912.59 : 649,850.20 = 256,050.78 : x
  2. Step 2: Convert to fraction form
    470,912.59/649,850.20 = 256,050.78/x
  3. Step 3: Cross multiply
    470,912.59x = 649,850.20 × 256,050.78
  4. Step 4: Simplify right side
    470,912.59x = 166,394,650,593.16
  5. Step 5: Solve for x
    x = 166,394,650,593.16/470,912.59
  6. Step 6: Final answer
    x = 353,345.09

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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.