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Finding the Fourth Proportional to 255,920.80, 382,855.92 and 221,234.08

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Solution

The fourth proportional to 255,920.80, 382,855.92 and 221,234.08 is: 330,964.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,920.80 : 382,855.92 = 221,234.08 : x
  2. Step 2: Convert to fraction form
    255,920.80/382,855.92 = 221,234.08/x
  3. Step 3: Cross multiply
    255,920.80x = 382,855.92 × 221,234.08
  4. Step 4: Simplify right side
    255,920.80x = 84,700,777,233.75
  5. Step 5: Solve for x
    x = 84,700,777,233.75/255,920.80
  6. Step 6: Final answer
    x = 330,964.80

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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.