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Finding the Fourth Proportional to 464,648.26, 641,439.84 and 311,630.54

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Solution

The fourth proportional to 464,648.26, 641,439.84 and 311,630.54 is: 430,201.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,648.26 : 641,439.84 = 311,630.54 : x
  2. Step 2: Convert to fraction form
    464,648.26/641,439.84 = 311,630.54/x
  3. Step 3: Cross multiply
    464,648.26x = 641,439.84 × 311,630.54
  4. Step 4: Simplify right side
    464,648.26x = 199,892,243,716.71
  5. Step 5: Solve for x
    x = 199,892,243,716.71/464,648.26
  6. Step 6: Final answer
    x = 430,201.21

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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.