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Finding the Fourth Proportional to 286,761.90, 430,121.25 and 115,994.46

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Solution

The fourth proportional to 286,761.90, 430,121.25 and 115,994.46 is: 173,982.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,761.90 : 430,121.25 = 115,994.46 : x
  2. Step 2: Convert to fraction form
    286,761.90/430,121.25 = 115,994.46/x
  3. Step 3: Cross multiply
    286,761.90x = 430,121.25 × 115,994.46
  4. Step 4: Simplify right side
    286,761.90x = 49,891,682,128.28
  5. Step 5: Solve for x
    x = 49,891,682,128.28/286,761.90
  6. Step 6: Final answer
    x = 173,982.95

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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.