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Finding the Fourth Proportional to 640,201.31, 883,889.67 and 410,857.46

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Solution

The fourth proportional to 640,201.31, 883,889.67 and 410,857.46 is: 567,247.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,201.31 : 883,889.67 = 410,857.46 : x
  2. Step 2: Convert to fraction form
    640,201.31/883,889.67 = 410,857.46/x
  3. Step 3: Cross multiply
    640,201.31x = 883,889.67 × 410,857.46
  4. Step 4: Simplify right side
    640,201.31x = 363,152,664,736.44
  5. Step 5: Solve for x
    x = 363,152,664,736.44/640,201.31
  6. Step 6: Final answer
    x = 567,247.61

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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.