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Finding the Fourth Proportional to 275,847.16, 380,645.52 and 154,978.96

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Solution

The fourth proportional to 275,847.16, 380,645.52 and 154,978.96 is: 213,857.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,847.16 : 380,645.52 = 154,978.96 : x
  2. Step 2: Convert to fraction form
    275,847.16/380,645.52 = 154,978.96/x
  3. Step 3: Cross multiply
    275,847.16x = 380,645.52 × 154,978.96
  4. Step 4: Simplify right side
    275,847.16x = 58,992,046,818.26
  5. Step 5: Solve for x
    x = 58,992,046,818.26/275,847.16
  6. Step 6: Final answer
    x = 213,857.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.