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Finding the Fourth Proportional to 523,626, 722,603.88 and 285,162

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Solution

The fourth proportional to 523,626, 722,603.88 and 285,162 is: 393,523.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,626 : 722,603.88 = 285,162 : x
  2. Step 2: Convert to fraction form
    523,626/722,603.88 = 285,162/x
  3. Step 3: Cross multiply
    523,626x = 722,603.88 × 285,162
  4. Step 4: Simplify right side
    523,626x = 206,059,167,628.56
  5. Step 5: Solve for x
    x = 206,059,167,628.56/523,626
  6. Step 6: Final answer
    x = 393,523.56

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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.