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Finding the Fourth Proportional to 455,057, 682,054 and 342,375.20

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Solution

The fourth proportional to 455,057, 682,054 and 342,375.20 is: 513,162.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,057 : 682,054 = 342,375.20 : x
  2. Step 2: Convert to fraction form
    455,057/682,054 = 342,375.20/x
  3. Step 3: Cross multiply
    455,057x = 682,054 × 342,375.20
  4. Step 4: Simplify right side
    455,057x = 233,518,374,660.80
  5. Step 5: Solve for x
    x = 233,518,374,660.80/455,057
  6. Step 6: Final answer
    x = 513,162.91

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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.