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Finding the Fourth Proportional to 522,186, 720,621 and 283,722

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Solution

The fourth proportional to 522,186, 720,621 and 283,722 is: 391,538.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,186 : 720,621 = 283,722 : x
  2. Step 2: Convert to fraction form
    522,186/720,621 = 283,722/x
  3. Step 3: Cross multiply
    522,186x = 720,621 × 283,722
  4. Step 4: Simplify right side
    522,186x = 204,456,031,362
  5. Step 5: Solve for x
    x = 204,456,031,362/522,186
  6. Step 6: Final answer
    x = 391,538.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.