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Finding the Fourth Proportional to 281,023.80, 420,660.90 and 162,342.60

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Solution

The fourth proportional to 281,023.80, 420,660.90 and 162,342.60 is: 243,008.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,023.80 : 420,660.90 = 162,342.60 : x
  2. Step 2: Convert to fraction form
    281,023.80/420,660.90 = 162,342.60/x
  3. Step 3: Cross multiply
    281,023.80x = 420,660.90 × 162,342.60
  4. Step 4: Simplify right side
    281,023.80x = 68,291,184,224.34
  5. Step 5: Solve for x
    x = 68,291,184,224.34/281,023.80
  6. Step 6: Final answer
    x = 243,008.54

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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.