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Finding the Fourth Proportional to 313,042.89, 469,360.20 and 206,103.15

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Solution

The fourth proportional to 313,042.89, 469,360.20 and 206,103.15 is: 309,020.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,042.89 : 469,360.20 = 206,103.15 : x
  2. Step 2: Convert to fraction form
    313,042.89/469,360.20 = 206,103.15/x
  3. Step 3: Cross multiply
    313,042.89x = 469,360.20 × 206,103.15
  4. Step 4: Simplify right side
    313,042.89x = 96,736,615,704.63
  5. Step 5: Solve for x
    x = 96,736,615,704.63/313,042.89
  6. Step 6: Final answer
    x = 309,020.33

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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.