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Finding the Fourth Proportional to 303,972.21, 419,539.50 and 200,424.24

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Solution

The fourth proportional to 303,972.21, 419,539.50 and 200,424.24 is: 276,623.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,972.21 : 419,539.50 = 200,424.24 : x
  2. Step 2: Convert to fraction form
    303,972.21/419,539.50 = 200,424.24/x
  3. Step 3: Cross multiply
    303,972.21x = 419,539.50 × 200,424.24
  4. Step 4: Simplify right side
    303,972.21x = 84,085,885,437.48
  5. Step 5: Solve for x
    x = 84,085,885,437.48/303,972.21
  6. Step 6: Final answer
    x = 276,623.59

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1.5x scale

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.