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Finding the Fourth Proportional to 303,826.48, 419,008.14 and 253,007.49

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Solution

The fourth proportional to 303,826.48, 419,008.14 and 253,007.49 is: 348,923.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,826.48 : 419,008.14 = 253,007.49 : x
  2. Step 2: Convert to fraction form
    303,826.48/419,008.14 = 253,007.49/x
  3. Step 3: Cross multiply
    303,826.48x = 419,008.14 × 253,007.49
  4. Step 4: Simplify right side
    303,826.48x = 106,012,197,790.97
  5. Step 5: Solve for x
    x = 106,012,197,790.97/303,826.48
  6. Step 6: Final answer
    x = 348,923.50

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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.