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Finding the Fourth Proportional to 272,003.60, 407,746.20 and 211,998.80

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Solution

The fourth proportional to 272,003.60, 407,746.20 and 211,998.80 is: 317,796.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,003.60 : 407,746.20 = 211,998.80 : x
  2. Step 2: Convert to fraction form
    272,003.60/407,746.20 = 211,998.80/x
  3. Step 3: Cross multiply
    272,003.60x = 407,746.20 × 211,998.80
  4. Step 4: Simplify right side
    272,003.60x = 86,441,705,104.56
  5. Step 5: Solve for x
    x = 86,441,705,104.56/272,003.60
  6. Step 6: Final answer
    x = 317,796.18

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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.