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Finding the Fourth Proportional to 507,211.92, 699,947.37 and 274,637.70

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Solution

The fourth proportional to 507,211.92, 699,947.37 and 274,637.70 is: 378,997.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,211.92 : 699,947.37 = 274,637.70 : x
  2. Step 2: Convert to fraction form
    507,211.92/699,947.37 = 274,637.70/x
  3. Step 3: Cross multiply
    507,211.92x = 699,947.37 × 274,637.70
  4. Step 4: Simplify right side
    507,211.92x = 192,231,935,817.85
  5. Step 5: Solve for x
    x = 192,231,935,817.85/507,211.92
  6. Step 6: Final answer
    x = 378,997.28

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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.