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Finding the Fourth Proportional to 313,906, 470,859 and 80,434

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Solution

The fourth proportional to 313,906, 470,859 and 80,434 is: 120,651

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,906 : 470,859 = 80,434 : x
  2. Step 2: Convert to fraction form
    313,906/470,859 = 80,434/x
  3. Step 3: Cross multiply
    313,906x = 470,859 × 80,434
  4. Step 4: Simplify right side
    313,906x = 37,873,072,806
  5. Step 5: Solve for x
    x = 37,873,072,806/313,906
  6. Step 6: Final answer
    x = 120,651

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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.