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Finding the Fourth Proportional to 286,591.82, 429,891.86 and 109,108.57

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Solution

The fourth proportional to 286,591.82, 429,891.86 and 109,108.57 is: 163,664.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,591.82 : 429,891.86 = 109,108.57 : x
  2. Step 2: Convert to fraction form
    286,591.82/429,891.86 = 109,108.57/x
  3. Step 3: Cross multiply
    286,591.82x = 429,891.86 × 109,108.57
  4. Step 4: Simplify right side
    286,591.82x = 46,904,885,489.59
  5. Step 5: Solve for x
    x = 46,904,885,489.59/286,591.82
  6. Step 6: Final answer
    x = 163,664.42

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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.