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Finding the Fourth Proportional to 455,139.80, 682,709.70 and 313,422.20

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Solution

The fourth proportional to 455,139.80, 682,709.70 and 313,422.20 is: 470,133.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,139.80 : 682,709.70 = 313,422.20 : x
  2. Step 2: Convert to fraction form
    455,139.80/682,709.70 = 313,422.20/x
  3. Step 3: Cross multiply
    455,139.80x = 682,709.70 × 313,422.20
  4. Step 4: Simplify right side
    455,139.80x = 213,976,376,135.34
  5. Step 5: Solve for x
    x = 213,976,376,135.34/455,139.80
  6. Step 6: Final answer
    x = 470,133.30

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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.