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Finding the Fourth Proportional to 259,722.90, 389,620.80 and 82,211.40

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Solution

The fourth proportional to 259,722.90, 389,620.80 and 82,211.40 is: 123,328.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,722.90 : 389,620.80 = 82,211.40 : x
  2. Step 2: Convert to fraction form
    259,722.90/389,620.80 = 82,211.40/x
  3. Step 3: Cross multiply
    259,722.90x = 389,620.80 × 82,211.40
  4. Step 4: Simplify right side
    259,722.90x = 32,031,271,437.12
  5. Step 5: Solve for x
    x = 32,031,271,437.12/259,722.90
  6. Step 6: Final answer
    x = 123,328.64

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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.