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Finding the Fourth Proportional to 259,476.88, 389,267.85 and 109,716.91

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Solution

The fourth proportional to 259,476.88, 389,267.85 and 109,716.91 is: 164,597.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,476.88 : 389,267.85 = 109,716.91 : x
  2. Step 2: Convert to fraction form
    259,476.88/389,267.85 = 109,716.91/x
  3. Step 3: Cross multiply
    259,476.88x = 389,267.85 × 109,716.91
  4. Step 4: Simplify right side
    259,476.88x = 42,709,265,664.34
  5. Step 5: Solve for x
    x = 42,709,265,664.34/259,476.88
  6. Step 6: Final answer
    x = 164,597.58

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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.