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Finding the Fourth Proportional to 640,200.49, 883,452.87 and 353,714.41

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Solution

The fourth proportional to 640,200.49, 883,452.87 and 353,714.41 is: 488,112.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,200.49 : 883,452.87 = 353,714.41 : x
  2. Step 2: Convert to fraction form
    640,200.49/883,452.87 = 353,714.41/x
  3. Step 3: Cross multiply
    640,200.49x = 883,452.87 × 353,714.41
  4. Step 4: Simplify right side
    640,200.49x = 312,490,008,906.29
  5. Step 5: Solve for x
    x = 312,490,008,906.29/640,200.49
  6. Step 6: Final answer
    x = 488,112.73

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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.