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Finding the Fourth Proportional to 503,552.16, 694,745.22 and 285,724.80

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Solution

The fourth proportional to 503,552.16, 694,745.22 and 285,724.80 is: 394,211.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,552.16 : 694,745.22 = 285,724.80 : x
  2. Step 2: Convert to fraction form
    503,552.16/694,745.22 = 285,724.80/x
  3. Step 3: Cross multiply
    503,552.16x = 694,745.22 × 285,724.80
  4. Step 4: Simplify right side
    503,552.16x = 198,505,939,035.46
  5. Step 5: Solve for x
    x = 198,505,939,035.46/503,552.16
  6. Step 6: Final answer
    x = 394,211.28

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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.