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Finding the Fourth Proportional to 259,577.80, 389,698.84 and 220,383.96

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Solution

The fourth proportional to 259,577.80, 389,698.84 and 220,383.96 is: 330,857.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,577.80 : 389,698.84 = 220,383.96 : x
  2. Step 2: Convert to fraction form
    259,577.80/389,698.84 = 220,383.96/x
  3. Step 3: Cross multiply
    259,577.80x = 389,698.84 × 220,383.96
  4. Step 4: Simplify right side
    259,577.80x = 85,883,373,566.61
  5. Step 5: Solve for x
    x = 85,883,373,566.61/259,577.80
  6. Step 6: Final answer
    x = 330,857.93

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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.