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Finding the Fourth Proportional to 313,034.20, 469,205.70 and 172,893.40

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Solution

The fourth proportional to 313,034.20, 469,205.70 and 172,893.40 is: 259,149.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,034.20 : 469,205.70 = 172,893.40 : x
  2. Step 2: Convert to fraction form
    313,034.20/469,205.70 = 172,893.40/x
  3. Step 3: Cross multiply
    313,034.20x = 469,205.70 × 172,893.40
  4. Step 4: Simplify right side
    313,034.20x = 81,122,568,772.38
  5. Step 5: Solve for x
    x = 81,122,568,772.38/313,034.20
  6. Step 6: Final answer
    x = 259,149.22

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1.5x scale

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.