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Finding the Fourth Proportional to 259,488.80, 389,233.20 and 220,122.80

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Solution

The fourth proportional to 259,488.80, 389,233.20 and 220,122.80 is: 330,184.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,488.80 : 389,233.20 = 220,122.80 : x
  2. Step 2: Convert to fraction form
    259,488.80/389,233.20 = 220,122.80/x
  3. Step 3: Cross multiply
    259,488.80x = 389,233.20 × 220,122.80
  4. Step 4: Simplify right side
    259,488.80x = 85,679,101,836.96
  5. Step 5: Solve for x
    x = 85,679,101,836.96/259,488.80
  6. Step 6: Final answer
    x = 330,184.20

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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.