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Finding the Fourth Proportional to 523,993, 723,110.36 and 285,529

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Solution

The fourth proportional to 523,993, 723,110.36 and 285,529 is: 394,030.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,993 : 723,110.36 = 285,529 : x
  2. Step 2: Convert to fraction form
    523,993/723,110.36 = 285,529/x
  3. Step 3: Cross multiply
    523,993x = 723,110.36 × 285,529
  4. Step 4: Simplify right side
    523,993x = 206,468,977,980.44
  5. Step 5: Solve for x
    x = 206,468,977,980.44/523,993
  6. Step 6: Final answer
    x = 394,030.03

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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.