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Finding the Fourth Proportional to 449,664.60, 674,829.60 and 213,007.80

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Solution

The fourth proportional to 449,664.60, 674,829.60 and 213,007.80 is: 319,669.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,664.60 : 674,829.60 = 213,007.80 : x
  2. Step 2: Convert to fraction form
    449,664.60/674,829.60 = 213,007.80/x
  3. Step 3: Cross multiply
    449,664.60x = 674,829.60 × 213,007.80
  4. Step 4: Simplify right side
    449,664.60x = 143,743,968,470.88
  5. Step 5: Solve for x
    x = 143,743,968,470.88/449,664.60
  6. Step 6: Final answer
    x = 319,669.30

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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.