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Finding the Fourth Proportional to 281,024.80, 420,662.40 and 162,343.60

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Solution

The fourth proportional to 281,024.80, 420,662.40 and 162,343.60 is: 243,010.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,024.80 : 420,662.40 = 162,343.60 : x
  2. Step 2: Convert to fraction form
    281,024.80/420,662.40 = 162,343.60/x
  3. Step 3: Cross multiply
    281,024.80x = 420,662.40 × 162,343.60
  4. Step 4: Simplify right side
    281,024.80x = 68,291,848,400.64
  5. Step 5: Solve for x
    x = 68,291,848,400.64/281,024.80
  6. Step 6: Final answer
    x = 243,010.04

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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.