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Finding the Fourth Proportional to 281,208.40, 421,812.60 and 181,481.20

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Solution

The fourth proportional to 281,208.40, 421,812.60 and 181,481.20 is: 272,221.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,208.40 : 421,812.60 = 181,481.20 : x
  2. Step 2: Convert to fraction form
    281,208.40/421,812.60 = 181,481.20/x
  3. Step 3: Cross multiply
    281,208.40x = 421,812.60 × 181,481.20
  4. Step 4: Simplify right side
    281,208.40x = 76,551,056,823.12
  5. Step 5: Solve for x
    x = 76,551,056,823.12/281,208.40
  6. Step 6: Final answer
    x = 272,221.80

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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.