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Finding the Fourth Proportional to 470,709.47, 649,576.64 and 255,850.70

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Solution

The fourth proportional to 470,709.47, 649,576.64 and 255,850.70 is: 353,072.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,709.47 : 649,576.64 = 255,850.70 : x
  2. Step 2: Convert to fraction form
    470,709.47/649,576.64 = 255,850.70/x
  3. Step 3: Cross multiply
    470,709.47x = 649,576.64 × 255,850.70
  4. Step 4: Simplify right side
    470,709.47x = 166,194,633,520.51
  5. Step 5: Solve for x
    x = 166,194,633,520.51/470,709.47
  6. Step 6: Final answer
    x = 353,072.63

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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.