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Finding the Fourth Proportional to 275,025.60, 412,781.40 and 162,565.20

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Solution

The fourth proportional to 275,025.60, 412,781.40 and 162,565.20 is: 243,991.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,025.60 : 412,781.40 = 162,565.20 : x
  2. Step 2: Convert to fraction form
    275,025.60/412,781.40 = 162,565.20/x
  3. Step 3: Cross multiply
    275,025.60x = 412,781.40 × 162,565.20
  4. Step 4: Simplify right side
    275,025.60x = 67,103,890,847.28
  5. Step 5: Solve for x
    x = 67,103,890,847.28/275,025.60
  6. Step 6: Final answer
    x = 243,991.44

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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.