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Finding the Fourth Proportional to 634,414.60, 951,615.42 and 213,687.64

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Solution

The fourth proportional to 634,414.60, 951,615.42 and 213,687.64 is: 320,529.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,414.60 : 951,615.42 = 213,687.64 : x
  2. Step 2: Convert to fraction form
    634,414.60/951,615.42 = 213,687.64/x
  3. Step 3: Cross multiply
    634,414.60x = 951,615.42 × 213,687.64
  4. Step 4: Simplify right side
    634,414.60x = 203,348,453,287.41
  5. Step 5: Solve for x
    x = 203,348,453,287.41/634,414.60
  6. Step 6: Final answer
    x = 320,529.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.