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Finding the Fourth Proportional to 259,799, 389,709.84 and 82,319.10

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Solution

The fourth proportional to 259,799, 389,709.84 and 82,319.10 is: 123,482.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,799 : 389,709.84 = 82,319.10 : x
  2. Step 2: Convert to fraction form
    259,799/389,709.84 = 82,319.10/x
  3. Step 3: Cross multiply
    259,799x = 389,709.84 × 82,319.10
  4. Step 4: Simplify right side
    259,799x = 32,080,563,289.94
  5. Step 5: Solve for x
    x = 32,080,563,289.94/259,799
  6. Step 6: Final answer
    x = 123,482.24

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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.