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Finding the Fourth Proportional to 455,142.80, 682,714.20 and 313,425.20

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Solution

The fourth proportional to 455,142.80, 682,714.20 and 313,425.20 is: 470,137.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,142.80 : 682,714.20 = 313,425.20 : x
  2. Step 2: Convert to fraction form
    455,142.80/682,714.20 = 313,425.20/x
  3. Step 3: Cross multiply
    455,142.80x = 682,714.20 × 313,425.20
  4. Step 4: Simplify right side
    455,142.80x = 213,979,834,677.84
  5. Step 5: Solve for x
    x = 213,979,834,677.84/455,142.80
  6. Step 6: Final answer
    x = 470,137.80

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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.