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Finding the Fourth Proportional to 318,864.78, 478,324.71 and 82,205.46

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Solution

The fourth proportional to 318,864.78, 478,324.71 and 82,205.46 is: 123,315.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,864.78 : 478,324.71 = 82,205.46 : x
  2. Step 2: Convert to fraction form
    318,864.78/478,324.71 = 82,205.46/x
  3. Step 3: Cross multiply
    318,864.78x = 478,324.71 × 82,205.46
  4. Step 4: Simplify right side
    318,864.78x = 39,320,902,814.92
  5. Step 5: Solve for x
    x = 39,320,902,814.92/318,864.78
  6. Step 6: Final answer
    x = 123,315.29

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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.