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Finding the Fourth Proportional to 275,783.92, 413,765 and 135,444.12

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Solution

The fourth proportional to 275,783.92, 413,765 and 135,444.12 is: 203,209.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,783.92 : 413,765 = 135,444.12 : x
  2. Step 2: Convert to fraction form
    275,783.92/413,765 = 135,444.12/x
  3. Step 3: Cross multiply
    275,783.92x = 413,765 × 135,444.12
  4. Step 4: Simplify right side
    275,783.92x = 56,042,036,311.80
  5. Step 5: Solve for x
    x = 56,042,036,311.80/275,783.92
  6. Step 6: Final answer
    x = 203,209.95

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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.